تكلم مع الذكاء الاصطناعي
Deck 2: Functions and Graphs
ملء الشاشة (f)
سؤال
Assuming that the graph shown has y-axis symmetry, sketch the complete graph. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
Given 
, use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
, use the algebraic tests to determine symmetry with respect to both axes and the origin.A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
سؤال
Estimate the slope of the line. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Given 
, use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
, use the algebraic tests to determine symmetry with respect to both axes and the origin.A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
سؤال
سؤال
Find the x- and y-intercepts of the graph of the equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Plot the points below whose coordinates are given on a Cartesian coordinate system. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center: 
; passing through 
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
سؤال
Graph the following equation by plotting points that satisfy the equation. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Sketch the graph of the equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The population 
(in millions of people) of North America from 1980 to 2050 can be modeled by 
where 
represents the year, with 
corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?
A)
It represents the population (in millions of people) of North America in 2050.
B)
It represents the population (in millions of people) of North America in 1990.
C)
It represents the population (in millions of people) of North America in 2030.
D)
It represents the population (in millions of people) of North America in 2020.
E)
It represents the population (in millions of people) of North America in 1980.
(in millions of people) of North America from 1980 to 2050 can be modeled by where represents the year, with corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?A)
It represents the population (in millions of people) of North America in 2050.B)
It represents the population (in millions of people) of North America in 1990.C)
It represents the population (in millions of people) of North America in 2030.D)
It represents the population (in millions of people) of North America in 2020.E)
It represents the population (in millions of people) of North America in 1980. سؤال
Find the x- and y-intercepts of the graph of the following equation. 
A) x-int:
; y-int: 
B) x-int:
; y-int: 
C) x-int:
; y-int: 
D) x-int:
; y-int: 
E) x-int:
; y-int: 
A) x-int:
; y-int: B) x-int:
; y-int: C) x-int:
; y-int: D) x-int:
; y-int: E) x-int:
; y-int: سؤال
Write the standard form of the equation of the circle whose diameter has endpoints of 
and 
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
سؤال
Find the slope of the line that passes through the points 
and 
A) 9
B) -5
C) 5
D) 0
E) undefined
and A) 9
B) -5
C) 5
D) 0
E) undefined
سؤال
Find 
such that the distance between the point 
and 
is 10.
A)
B)
C)
D)
E)
such that the distance between the point and is 10.A)
B)
C)
D)
E)
سؤال
After completing the table, use the resulting solution points to sketch the graph of the equation 
سؤال
Plot the points and find the slope of the line passing through the pair of points. (2, -4), (4, -1) 
A) slope:
B) slope:
C) slope:
D) slope:
E) slope:
A) slope:
B) slope:
C) slope:
D) slope:
E) slope:
سؤال
Sketch the graph of the equation below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Match the equation below with its graph. 
Graph I : 
Graph IV : 
Graph II : 
Graph V : 
Graph III : 
A) Graph IV
B) Graph III
C) Graph V
D) Graph II
E) Graph I
Graph I : Graph IV : Graph II : Graph V : Graph III : A) Graph IV
B) Graph III
C) Graph V
D) Graph II
E) Graph I
سؤال
سؤال
The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building.Compute the linear regression equation for these data. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find the slope of the line that passes through the points 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point
Slope
I: 
II: 
III: 
A) Only point I lies on the line.
B) None of the points lies on the line.
C) Only point III lies on the line.
D) Only points I and II lie on the line.
E) Only points I and III lie on the line.
Slope
I: II: III: A) Only point I lies on the line.
B) None of the points lies on the line.
C) Only point III lies on the line.
D) Only points I and II lie on the line.
E) Only points I and III lie on the line.
سؤال
Determine if lines 
and 
are parallel, perpendicular, or neither. 
A) parallel
B) neither
C) perpendicular
and are parallel, perpendicular, or neither. A) parallel
B) neither
C) perpendicular
سؤال
سؤال
سؤال
سؤال
Find the slope and y-intercept of the equation of the line. 
A) slope:
; y-intercept: 4
B) slope:
; y-intercept: -6
C) slope: -6; y-intercept: 4
D) slope: 4; y-intercept: -6
E) slope: -6; y-intercept: -4
A) slope:
; y-intercept: 4B) slope:
; y-intercept: -6C) slope: -6; y-intercept: 4
D) slope: 4; y-intercept: -6
E) slope: -6; y-intercept: -4
سؤال
Plot the points and find the slope of the line passing through the pair of points. (3, -2), (-4, -2) 
A) slope: 0
B) slope: 1
C) slope: -7
D) slope:
E) slope: undefined
A) slope: 0
B) slope: 1
C) slope: -7
D) slope:
E) slope: undefined
سؤال
Which of the following graphs below can be approximated by a linear model? I 
II 
III 
A) None can be modeled linearly.
B) Only graphs II and III can be modeled linearly.
C) Only graph III can be modeled linearly.
D) Only graphs I and II can be modeled linearly.
E) Only graph I can be modeled linearly.
II III A) None can be modeled linearly.
B) Only graphs II and III can be modeled linearly.
C) Only graph III can be modeled linearly.
D) Only graphs I and II can be modeled linearly.
E) Only graph I can be modeled linearly.
سؤال
Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "t varies directly as 
, and 
when 
"
A)
; 
B)
; 
C)
; 
D)
; 
E)
; 
, and when "A)
; B)
; C)
; D)
; E)
; سؤال
Suppose the average remaining lifetime for women in a given country is given in the following table. 
Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.
A)
B)
C)
D)
E)
Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.A)
B)
C)
D)
E)
سؤال
The simple interest on an investment is directly proportional to the amount of the investment.By investing $5750 in a certain certificate of deposit, you obtained an interest payment of $172.50 after 1 year.Determine a mathematical model that gives the interest, I, for this CD after 1 year in terms of the amount invested, P.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
A motorcycle was purchased for $39,000.Assuming the motorcycle depreciates at a rate of $4680 per year (straight-line depreciation) for the first 7 years, write the value v of the motorcycle as a function of the time t (measured in years) for 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Assume that y is directly proportional to x.If 
and 
, determine a linear model that relates y and x.
A)
B)
C)
D)
E)
and , determine a linear model that relates y and x.A)
B)
C)
D)
E)
سؤال
The sales tax on an item with a retail price of $908 is $99.88.Create a mathematical model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $113.50.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Graph y as a function of x by finding the slope and y-intercept of the line below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is 
x-intercept: (3, 0) y-intercept: (0, 5)
A) 5x + 3y = 1
B)
C)
D) 3x + 5y = 15
E) 5x + 3y = 15
x-intercept: (3, 0) y-intercept: (0, 5)A) 5x + 3y = 1
B)
C)
D) 3x + 5y = 15
E) 5x + 3y = 15
سؤال
An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area 
from each corner as shown in the figure below.If the volume of the box is given by 
state the domain of V . 
A)
B)
C)
D)
E) all real numbers
from each corner as shown in the figure below.If the volume of the box is given by state the domain of V . A)
B)
C)
D)
E) all real numbers
سؤال
Which graph represents the function? 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
سؤال
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area 
from each corner as shown in the figure below.Express the volume V of the box as a function of x. 
A)
B)
C)
D)
E)
from each corner as shown in the figure below.Express the volume V of the box as a function of x. A)
B)
C)
D)
E)
سؤال
Find all real values of x such that f (x) = 0. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The marketing department of a company estimates that the demand for a product is given by 
where 
is the price per unit and 
is the number of units.The cost 
of producing 
units is given by 
and the profit 
for producing and selling 
units is given by 
Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.
A) 590,000 units
B) 600,000 units
C) 640,000 units
D) 520,000 units
E) 620,000 units
where is the price per unit and is the number of units.The cost of producing units is given by and the profit for producing and selling units is given by Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.A) 590,000 units
B) 600,000 units
C) 640,000 units
D) 520,000 units
E) 620,000 units
سؤال
Given 
find 
A)
B)
C)
D)
E)
find A)
B)
C)
D)
E)
سؤال
Given 
find 
A) 320
B) -41
C) 321
D) -81
E) 319
find A) 320
B) -41
C) 321
D) -81
E) 319
سؤال
The inventor of a new game believes that the variable cost of producing the game is $3.65 per unit and the fixed costs are $5000.The inventor sells each game for $11.09.Let 
be the number of games sold.Write the average cost per unit 
as a function of 
where 
is defined as the total cost of producing 
games.
A)
B)
C)
D)
E)
be the number of games sold.Write the average cost per unit as a function of where is defined as the total cost of producing games.A)
B)
C)
D)
E)
سؤال
سؤال
Find the domain of the function. 
A) all real numbers
B) all real numbers
, 
C) all real numbers
D) s = -1, s = 0
E) s = -1
A) all real numbers
B) all real numbers
, C) all real numbers
D) s = -1, s = 0
E) s = -1
سؤال
Find the domain of the function. 
A) -9 < y 9
B) y -9 or y 9
C) y 0
D) y 9
E) all real numbers
A) -9 < y 9
B) y -9 or y 9
C) y 0
D) y 9
E) all real numbers
سؤال
Use the vertical line test to determine if the following graph is the graph of a function. 
A) function
B) not a function
A) function
B) not a function
سؤال
سؤال
Sketch the graph of the function below. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find all real values of x such that f (x) = 0. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Suppose the average remaining lifetime for women in a given country is given in the following table. 
Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years.Use the regression equation to estimate the remaining lifetime for a 30-year old woman.
A) 59.79 years
B) 43.45 years
C) 49.47 years
D) 52.05 years
E) 57.21 years
Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years.Use the regression equation to estimate the remaining lifetime for a 30-year old woman.A) 59.79 years
B) 43.45 years
C) 49.47 years
D) 52.05 years
E) 57.21 years
سؤال
Use the graph of the function to find the domain and range of f. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The national defense budget expenses 
(in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model 
where 
represents the year, with 
corresponding to 1990.Use the model to find total veteran expenses in 2002.
A) $51.904 billion
B) $51.344 billion
C) $12.404 billion
D) $37.550 billion
E) $30.100 billion
(in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.A) $51.904 billion
B) $51.344 billion
C) $12.404 billion
D) $37.550 billion
E) $30.100 billion
سؤال
Given 
find 
A) 33
B) 21
C) 45
D) 36
E) 27
find A) 33
B) 21
C) 45
D) 36
E) 27
سؤال
Evaluate the function at each specified value of the independent variable. 
a) 
b) 
c) 
d) 
A) 2, 2, -3, -4
B) 2, 3, -3, -4
C) 2, 2, -2, -4
D) 2, 2.5, 2.5, 4
E) 2, 2.5, -2.5, -4
a) b) c) d) A) 2, 2, -3, -4
B) 2, 3, -3, -4
C) 2, 2, -2, -4
D) 2, 2.5, 2.5, 4
E) 2, 2.5, -2.5, -4
سؤال
Use a graphing utility to graph the function and determine whether the function is even, odd, or neither. 
A) Neither even nor odd
B) Odd
C) Even
D) Neither even nor odd
E) Even
A) Neither even nor odd
B) Odd
C) Even
D) Neither even nor odd
E) Even
سؤال
Use the graph of 
to sketch the graph of 
A) Horizontal shift 2 units to the right
B) Reflection in the x-axis
C) Vertical shift 2 units upward
D) Horizontal shift 3 units to the left
E) Stretching by 2
to sketch the graph of A) Horizontal shift 2 units to the right
B) Reflection in the x-axis
C) Vertical shift 2 units upward
D) Horizontal shift 3 units to the left
E) Stretching by 2
سؤال
Identify the transformation shown in the graph and identify the associated common function.Write the equation of the graphed function. 
A) Common function:
Transformation: horizontal shift 2 units to the right
Equation:
B) Common function:
Transformation: multiplied by
shrinking
Equation:
C) Common function:
Transformation: reflection about the x-axis
Equation:
D) Common function:
Transformation:
is 7.
Equation:
E) Common function:
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:
A) Common function:
Transformation: horizontal shift 2 units to the right
Equation:
B) Common function:
Transformation: multiplied by
shrinkingEquation:
C) Common function:
Transformation: reflection about the x-axis
Equation:
D) Common function:
Transformation:
is 7.Equation:
E) Common function:
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:
سؤال
Use the graph of 
to write equations for the functions whose graphs are shown. 
A)
B)
C)
D)
E)
to write equations for the functions whose graphs are shown. A)
B)
C)
D)
E)
سؤال
Describe the sequence of transformation from 
to 
if 
A) Shifted five units to the left and six units downwards.
B) Shifted six units to the left and five units downwards.
C) Shifted five units to the right and six units upwards.
D) Shifted six units to the right and five units downwards.
E) Shifted five units to the left and six units upwards.
to if A) Shifted five units to the left and six units downwards.
B) Shifted six units to the left and five units downwards.
C) Shifted five units to the right and six units upwards.
D) Shifted six units to the right and five units downwards.
E) Shifted five units to the left and six units upwards.
سؤال
Describe the increasing, decreasing, and constant behavior of the function.Find the point or points where the behavior of the function changes. 
A) Increasing on
No change in the graph's behaviour
B) Decreasing on
Incresing on
The graph's behaviour changes at the point
C) Increasing on
and 
Decresing on
The graph's behaviour changes at the points
and 
D) Decreasing on
Increasing on
The graph's behaviour changes at the points
and 
E) Decreasing on
Incresing on
The graph's behaviour changes at the point
A) Increasing on
No change in the graph's behaviour
B) Decreasing on
Incresing on
The graph's behaviour changes at the point
C) Increasing on
and Decresing on
The graph's behaviour changes at the points
and D) Decreasing on
Increasing on
The graph's behaviour changes at the points
and E) Decreasing on
Incresing on
The graph's behaviour changes at the point
سؤال
Use a graphing utility to graph the function, approximate the relative minimum or maximum of the function, and estimate the open intervals on which the function is increasing or decreasing. 
A)
Decreasing on
Increasing on
Relative minimum:
B)
Decreasing on 
Increasing on
Relative maximum:
C)
Decreasing on 
Increasing on
Relative minimum:
Relative maximum:
D)
Decreasing on 
Increasing on
Relative minimum:
Relative maximum:
E)
Decreasing on 
Increasing on
Relative minimum:
Relative maximum:
A)
Decreasing on
Increasing on
Relative minimum:
B)
Decreasing on Increasing on
Relative maximum:
C)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
D)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
E)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
سؤال
The weekly profit 
(in hundreds of dollars) for a business from a product is given by the model 
where 
is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that 
measures advertising expenditures in dollars.
A)
B)
C)
D)
E)
(in hundreds of dollars) for a business from a product is given by the model where is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that measures advertising expenditures in dollars.A)
B)
C)
D)
E)
سؤال
Describe the sequence of transformations from 
to 
Then sketch the graph of 
by hand.Verify with a graphing utility. 
A) Vertical shifts down 3 units
B) Vertical shifts 2 units upward
C) Horizontal shift 1 unit to the right
D) Horizontal shifts 4 units to the left
E) Vertical shifts 3 units upward
to Then sketch the graph of by hand.Verify with a graphing utility. A) Vertical shifts down 3 units
B) Vertical shifts 2 units upward
C) Horizontal shift 1 unit to the right
D) Horizontal shifts 4 units to the left
E) Vertical shifts 3 units upward
سؤال
Decide whether the function is even, odd, or neither. 
A) Odd
B) Even
C) Neither even nor odd
A) Odd
B) Even
C) Neither even nor odd
سؤال
Consider the graph of 
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of 
is shifted three units to the left.
A)
B)
C)
D)
E)
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is shifted three units to the left.A)
B)
C)
D)
E)
سؤال
Sketch the graph of the function and determine whether the function is even, odd, or neither. 
A) Neither even nor odd
B)
Even 
C) Odd
D) Odd
E) Neither even nor odd
A) Neither even nor odd
B)
Even C) Odd
D) Odd
E) Neither even nor odd
سؤال
Describe the sequence of transformations from 
to 
Then sketch the graph of 
by hand.Verify with a graphing utility. 
A) Shifted 5 units downward
B) Shifted 1 unit upward
C) Shifted 4 units to the left
D) Shifts 3 units to the right
E) 4 units to the left and 2 units upward
to Then sketch the graph of by hand.Verify with a graphing utility. A) Shifted 5 units downward
B) Shifted 1 unit upward
C) Shifted 4 units to the left
D) Shifts 3 units to the right
E) 4 units to the left and 2 units upward
سؤال
Sketch the graph of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Consider the graph of 
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of 
is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.
A)
B)
C)
D)
E)
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.A)
B)
C)
D)
E)
سؤال
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
سؤال
The cost of sending an overnight package from New York to Atlanta is $9.80 for up to, but not including, the first pound and $3.50 for each additional pound (or portion of a pound).A model for the total cost 
of sending the package is 
where 
is the weight of the package (in pounds).Sketch the graph of this function. Note that the function 
is the greatest integer function.
A)
B)
C)
D)
E)
of sending the package is where is the weight of the package (in pounds).Sketch the graph of this function. Note that the function is the greatest integer function.A)
B)
C)
D)
E)
سؤال
Sketch the graph of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Use the graph of 
to write an equation for the function whose graphs is shown below. 
A)
B)
C)
D)
E)
to write an equation for the function whose graphs is shown below. A)
B)
C)
D)
E)
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/97
العب
ملء الشاشة (f)
Deck 2: Functions and Graphs
1
Assuming that the graph shown has y-axis symmetry, sketch the complete graph.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
A
2
Find the distance between the points.Round to the nearest hundredth, if necessary. (9, 2), (5, 5)
A) 15.65
B) 14.32
C) 5
D) 8.06
E) 7
A) 15.65
B) 14.32
C) 5
D) 8.06
E) 7
C
3
Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
, use the algebraic tests to determine symmetry with respect to both axes and the origin.A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
C
4
Estimate the slope of the line.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
5
Given , use the algebraic tests to determine symmetry with respect to both axes and the origin.
A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
, use the algebraic tests to determine symmetry with respect to both axes and the origin.A) y-axis symmetry only
B) x-axis symmetry only
C) origin symmetry only
D) x-axis, y-axis, and origin symmetry
E) no symmetry
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
6
Find the midpoint of the line segment joining the points. (7, -7), (-7, -5)
A) (0, 6)
B) (-6, 0)
C) (-1, 7)
D) (7, -1)
E) (0, -6)
A) (0, 6)
B) (-6, 0)
C) (-1, 7)
D) (7, -1)
E) (0, -6)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
7
Find the x- and y-intercepts of the graph of the equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
8
Plot the points below whose coordinates are given on a Cartesian coordinate system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
9
Find an equation of a circle that satisfies the following condition.Write your answer in standard form. Center: ; passing through
A)
B)
C)
D)
E)
; passing through A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
10
Graph the following equation by plotting points that satisfy the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
11
Sketch the graph of the equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
12
The population (in millions of people) of North America from 1980 to 2050 can be modeled by where represents the year, with corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?
A) It represents the population (in millions of people) of North America in 2050.
B) It represents the population (in millions of people) of North America in 1990.
C) It represents the population (in millions of people) of North America in 2030.
D) It represents the population (in millions of people) of North America in 2020.
E) It represents the population (in millions of people) of North America in 1980.
(in millions of people) of North America from 1980 to 2050 can be modeled by where represents the year, with corresponding to 2050.Find the y-intercept of the graph of the model.What does it represent in the given situation?A)
It represents the population (in millions of people) of North America in 2050.B)
It represents the population (in millions of people) of North America in 1990.C)
It represents the population (in millions of people) of North America in 2030.D)
It represents the population (in millions of people) of North America in 2020.E)
It represents the population (in millions of people) of North America in 1980. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
13
Find the x- and y-intercepts of the graph of the following equation.
A) x-int: ; y-int:
B) x-int: ; y-int:
C) x-int: ; y-int:
D) x-int: ; y-int:
E) x-int: ; y-int:
A) x-int:
; y-int: B) x-int:
; y-int: C) x-int:
; y-int: D) x-int:
; y-int: E) x-int:
; y-int: فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
14
Write the standard form of the equation of the circle whose diameter has endpoints of and
A)
B)
C)
D)
E)
and A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
15
Find the slope of the line that passes through the points and
A) 9
B) -5
C) 5
D) 0
E) undefined
and A) 9
B) -5
C) 5
D) 0
E) undefined
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
16
Find such that the distance between the point and is 10.
A)
B)
C)
D)
E)
such that the distance between the point and is 10.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
17
After completing the table, use the resulting solution points to sketch the graph of the equation
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
18
Plot the points and find the slope of the line passing through the pair of points. (2, -4), (4, -1)
A) slope:
B) slope:
C) slope:
D) slope:
E) slope:
A) slope:
B) slope:
C) slope:
D) slope:
E) slope:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
19
Sketch the graph of the equation below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
20
Match the equation below with its graph. Graph I : Graph IV : Graph II : Graph V : Graph III :
A) Graph IV
B) Graph III
C) Graph V
D) Graph II
E) Graph I
Graph I : Graph IV : Graph II : Graph V : Graph III : A) Graph IV
B) Graph III
C) Graph V
D) Graph II
E) Graph I
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
21
After opening the parachute, the descent of a parachutist follows a linear model.At 7:28 P.M., the height of the parachutist is 6150 feet.At 7:31 P.M., the height is 3450 feet.Use a linear equation that gives the height of the parachutist in terms of the time to find the time when the parachutist will reach the ground.
A) 7:33:30 P.M.
B) 7:34:50 P.M.
C) 7:32:00 P.M.
D) 7:37:30 P.M.
E) 7:31:00 P.M.
A) 7:33:30 P.M.
B) 7:34:50 P.M.
C) 7:32:00 P.M.
D) 7:37:30 P.M.
E) 7:31:00 P.M.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
22
The table below shows the velocities, in feet per second, of a ball that is thrown horizontally from the top of a 50 foot building and the distances, in feet, that it lands from the base of the building.Compute the linear regression equation for these data.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
23
Find the slope of the line that passes through the points
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
24
Use the point on the line and the slope of the line to determine whether any of the three additional points lies on the line. Point
Slope I: II: III:
A) Only point I lies on the line.
B) None of the points lies on the line.
C) Only point III lies on the line.
D) Only points I and II lie on the line.
E) Only points I and III lie on the line.
Slope
I: II: III: A) Only point I lies on the line.
B) None of the points lies on the line.
C) Only point III lies on the line.
D) Only points I and II lie on the line.
E) Only points I and III lie on the line.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
25
Determine if lines and are parallel, perpendicular, or neither.
A) parallel
B) neither
C) perpendicular
and are parallel, perpendicular, or neither. A) parallel
B) neither
C) perpendicular
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
26
Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-1, 8), (9, -4)
L2 : (0, 9), (1, -1)
A) parallel
B) perpendicular
C) neither
L2 : (0, 9), (1, -1)
A) parallel
B) perpendicular
C) neither
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
27
Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (1, 2), (1, 4)
L2 : (-7, -8), (-9, -8)
A) parallel
B) perpendicular
C) neither
L2 : (-7, -8), (-9, -8)
A) parallel
B) perpendicular
C) neither
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
28
Determine whether lines L1 and L2 passing through the pairs of points are parallel, perpendicular, or neither. L1 : (-5, -5), (4, 6)
L2 : (-9, 8), (-18, -3)
A) parallel
B) perpendicular
C) neither
L2 : (-9, 8), (-18, -3)
A) parallel
B) perpendicular
C) neither
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
29
Find the slope and y-intercept of the equation of the line.
A) slope: ; y-intercept: 4
B) slope: ; y-intercept: -6
C) slope: -6; y-intercept: 4
D) slope: 4; y-intercept: -6
E) slope: -6; y-intercept: -4
A) slope:
; y-intercept: 4B) slope:
; y-intercept: -6C) slope: -6; y-intercept: 4
D) slope: 4; y-intercept: -6
E) slope: -6; y-intercept: -4
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
30
Plot the points and find the slope of the line passing through the pair of points. (3, -2), (-4, -2)
A) slope: 0
B) slope: 1
C) slope: -7
D) slope:
E) slope: undefined
A) slope: 0
B) slope: 1
C) slope: -7
D) slope:
E) slope: undefined
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
31
Which of the following graphs below can be approximated by a linear model? I II III
A) None can be modeled linearly.
B) Only graphs II and III can be modeled linearly.
C) Only graph III can be modeled linearly.
D) Only graphs I and II can be modeled linearly.
E) Only graph I can be modeled linearly.
II III A) None can be modeled linearly.
B) Only graphs II and III can be modeled linearly.
C) Only graph III can be modeled linearly.
D) Only graphs I and II can be modeled linearly.
E) Only graph I can be modeled linearly.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
32
Write the equation that expresses the relationship between the variables described below, then use the given data to solve for the variation of constant. "t varies directly as , and when "
A) ;
B) ;
C) ;
D) ;
E) ;
, and when "A)
; B)
; C)
; D)
; E)
; فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
33
Suppose the average remaining lifetime for women in a given country is given in the following table. Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.
A)
B)
C)
D)
E)
Compute the linear regression equation for these data, where x is the age, in years, and A is the remaining lifetime, in years.Round parameters to the nearest hundredth.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
34
The simple interest on an investment is directly proportional to the amount of the investment.By investing $5750 in a certain certificate of deposit, you obtained an interest payment of $172.50 after 1 year.Determine a mathematical model that gives the interest, I, for this CD after 1 year in terms of the amount invested, P.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
35
Find the slope and y-intercept of the equation of the line. -y - 8x = -2
A) slope: 8; y-intercept: -2
B) slope: -2; y-intercept: 8
C) slope: 8; y-intercept: -1
D) slope: 2; y-intercept: -8
E) slope: -8; y-intercept: 2
A) slope: 8; y-intercept: -2
B) slope: -2; y-intercept: 8
C) slope: 8; y-intercept: -1
D) slope: 2; y-intercept: -8
E) slope: -8; y-intercept: 2
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
36
A motorcycle was purchased for $39,000.Assuming the motorcycle depreciates at a rate of $4680 per year (straight-line depreciation) for the first 7 years, write the value v of the motorcycle as a function of the time t (measured in years) for
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
37
Assume that y is directly proportional to x.If and , determine a linear model that relates y and x.
A)
B)
C)
D)
E)
and , determine a linear model that relates y and x.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
38
The sales tax on an item with a retail price of $908 is $99.88.Create a mathematical model that gives the retail price, y, in terms of the sales tax, x, and use it to determine the retail price of an item that has a sales tax of $113.50.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
39
Graph y as a function of x by finding the slope and y-intercept of the line below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
40
Use the intercept form to find the equation of the line with the given intercepts.The intercept form of the equation of a line with intercepts (a, 0) and (0, b) is x-intercept: (3, 0) y-intercept: (0, 5)
A) 5x + 3y = 1
B)
C)
D) 3x + 5y = 15
E) 5x + 3y = 15
x-intercept: (3, 0) y-intercept: (0, 5)A) 5x + 3y = 1
B)
C)
D) 3x + 5y = 15
E) 5x + 3y = 15
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
41
An open box is to be made from a square piece of cardboard having dimensions 34 inches by 34 inches by cutting out squares of area from each corner as shown in the figure below.If the volume of the box is given by state the domain of V .
A)
B)
C)
D)
E) all real numbers
from each corner as shown in the figure below.If the volume of the box is given by state the domain of V . A)
B)
C)
D)
E) all real numbers
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
42
Which graph represents the function?
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
43
Use a graphing utility to graph the function and approximate (to two decimal places) any relative minimum or relative maximum values. f (x) = x3 + 2x2 + x - 5
A) relative maximum: (-1.00, -5.00)
Relative minimum: (-0.33, -5.15)
B) relative maximum: (-0.33, -5.15)
Relative minimum: (-1.00, -5.00)
C) relative maximum: (-5.00, -1.00)
Relative minimum: (-5.15, -0.33)
D) relative maximum: (-5.15, -0.33)
Relative minimum: (-5.00, -1.00)
E) relative maximum: (-5.15, -93.58)
Relative minimum: (-5.00, -85.00)
A) relative maximum: (-1.00, -5.00)
Relative minimum: (-0.33, -5.15)
B) relative maximum: (-0.33, -5.15)
Relative minimum: (-1.00, -5.00)
C) relative maximum: (-5.00, -1.00)
Relative minimum: (-5.15, -0.33)
D) relative maximum: (-5.15, -0.33)
Relative minimum: (-5.00, -1.00)
E) relative maximum: (-5.15, -93.58)
Relative minimum: (-5.00, -85.00)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
44
An open box is to be made from a square piece of cardboard having dimensions 20 inches by 20 inches by cutting out squares of area from each corner as shown in the figure below.Express the volume V of the box as a function of x.
A)
B)
C)
D)
E)
from each corner as shown in the figure below.Express the volume V of the box as a function of x. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
45
Find all real values of x such that f (x) = 0.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
46
The marketing department of a company estimates that the demand for a product is given by where is the price per unit and is the number of units.The cost of producing units is given by and the profit for producing and selling units is given by Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.
A) 590,000 units
B) 600,000 units
C) 640,000 units
D) 520,000 units
E) 620,000 units
where is the price per unit and is the number of units.The cost of producing units is given by and the profit for producing and selling units is given by Sketch the graph of the profit function and estimate the number of units that would produce a maximum profit.A) 590,000 units
B) 600,000 units
C) 640,000 units
D) 520,000 units
E) 620,000 units
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
47
Given find
A)
B)
C)
D)
E)
find A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
48
Given find
A) 320
B) -41
C) 321
D) -81
E) 319
find A) 320
B) -41
C) 321
D) -81
E) 319
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
49
The inventor of a new game believes that the variable cost of producing the game is $3.65 per unit and the fixed costs are $5000.The inventor sells each game for $11.09.Let be the number of games sold.Write the average cost per unit as a function of where is defined as the total cost of producing games.
A)
B)
C)
D)
E)
be the number of games sold.Write the average cost per unit as a function of where is defined as the total cost of producing games.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
50
Evaluate the function at the specified value of the independent variable and simplify. f (y) = 6y + 3; f (0.8)
A) 4.8y + 18
B) 1.8
C) 7.8
D) 0.8y + 3
E) 0.8y - 3
A) 4.8y + 18
B) 1.8
C) 7.8
D) 0.8y + 3
E) 0.8y - 3
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
51
Find the domain of the function.
A) all real numbers
B) all real numbers ,
C) all real numbers
D) s = -1, s = 0
E) s = -1
A) all real numbers
B) all real numbers
, C) all real numbers
D) s = -1, s = 0
E) s = -1
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
52
Find the domain of the function.
A) -9 < y 9
B) y -9 or y 9
C) y 0
D) y 9
E) all real numbers
A) -9 < y 9
B) y -9 or y 9
C) y 0
D) y 9
E) all real numbers
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
53
Use the vertical line test to determine if the following graph is the graph of a function.
A) function
B) not a function
A) function
B) not a function
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
54
Which set of ordered pairs represents a function from P to Q? P = {5, 10, 15, 20} Q = {-1, 1, 3}
A) {(5, -1), (10, 1), (10, 3), (15, 1), (20, -1)}
B) {(15, -1), (15, 1), (15, 3)}
C) {(15, 1), (10, -1), (5, 1), (10, 3), (15, -1)}
D) {(10, 1), (15, 3), (20, 1)}
E) {(5, 3), (15, 1), (5, -1), (15, 3)}
A) {(5, -1), (10, 1), (10, 3), (15, 1), (20, -1)}
B) {(15, -1), (15, 1), (15, 3)}
C) {(15, 1), (10, -1), (5, 1), (10, 3), (15, -1)}
D) {(10, 1), (15, 3), (20, 1)}
E) {(5, 3), (15, 1), (5, -1), (15, 3)}
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
55
Sketch the graph of the function below.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
56
Find all real values of x such that f (x) = 0.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
57
Suppose the average remaining lifetime for women in a given country is given in the following table. Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years.Use the regression equation to estimate the remaining lifetime for a 30-year old woman.
A) 59.79 years
B) 43.45 years
C) 49.47 years
D) 52.05 years
E) 57.21 years
Find the linear regression equation for these data, whose parameters are rounded to the nearest hundredth, where x is the age, in years, and A is the remaining lifetime, in years.Use the regression equation to estimate the remaining lifetime for a 30-year old woman.A) 59.79 years
B) 43.45 years
C) 49.47 years
D) 52.05 years
E) 57.21 years
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
58
Use the graph of the function to find the domain and range of f.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
59
The national defense budget expenses (in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.
A) $51.904 billion
B) $51.344 billion
C) $12.404 billion
D) $37.550 billion
E) $30.100 billion
(in billions of dollars) for veterans in the United States from 1990 to 2005 can be approximated by the model where represents the year, with corresponding to 1990.Use the model to find total veteran expenses in 2002.A) $51.904 billion
B) $51.344 billion
C) $12.404 billion
D) $37.550 billion
E) $30.100 billion
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
60
Given find
A) 33
B) 21
C) 45
D) 36
E) 27
find A) 33
B) 21
C) 45
D) 36
E) 27
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
61
Evaluate the function at each specified value of the independent variable. a) b) c) d)
A) 2, 2, -3, -4
B) 2, 3, -3, -4
C) 2, 2, -2, -4
D) 2, 2.5, 2.5, 4
E) 2, 2.5, -2.5, -4
a) b) c) d) A) 2, 2, -3, -4
B) 2, 3, -3, -4
C) 2, 2, -2, -4
D) 2, 2.5, 2.5, 4
E) 2, 2.5, -2.5, -4
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
62
Use a graphing utility to graph the function and determine whether the function is even, odd, or neither.
A) Neither even nor odd
B) Odd
C) Even
D) Neither even nor odd
E) Even
A) Neither even nor odd
B) Odd
C) Even
D) Neither even nor odd
E) Even
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
63
Use the graph of to sketch the graph of
A) Horizontal shift 2 units to the right
B) Reflection in the x-axis
C) Vertical shift 2 units upward
D) Horizontal shift 3 units to the left
E) Stretching by 2
to sketch the graph of A) Horizontal shift 2 units to the right
B) Reflection in the x-axis
C) Vertical shift 2 units upward
D) Horizontal shift 3 units to the left
E) Stretching by 2
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
64
Identify the transformation shown in the graph and identify the associated common function.Write the equation of the graphed function.
A) Common function:
Transformation: horizontal shift 2 units to the right
Equation:
B) Common function:
Transformation: multiplied by shrinking
Equation:
C) Common function:
Transformation: reflection about the x-axis
Equation:
D) Common function:
Transformation: is 7.
Equation:
E) Common function:
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:
A) Common function:
Transformation: horizontal shift 2 units to the right
Equation:
B) Common function:
Transformation: multiplied by
shrinkingEquation:
C) Common function:
Transformation: reflection about the x-axis
Equation:
D) Common function:
Transformation:
is 7.Equation:
E) Common function:
Transformation: reflection about the x-axis and a vertical shift 1 unit upward
Equation:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
65
Use the graph of to write equations for the functions whose graphs are shown.
A)
B)
C)
D)
E)
to write equations for the functions whose graphs are shown. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
66
Describe the sequence of transformation from to if
A) Shifted five units to the left and six units downwards.
B) Shifted six units to the left and five units downwards.
C) Shifted five units to the right and six units upwards.
D) Shifted six units to the right and five units downwards.
E) Shifted five units to the left and six units upwards.
to if A) Shifted five units to the left and six units downwards.
B) Shifted six units to the left and five units downwards.
C) Shifted five units to the right and six units upwards.
D) Shifted six units to the right and five units downwards.
E) Shifted five units to the left and six units upwards.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
67
Describe the increasing, decreasing, and constant behavior of the function.Find the point or points where the behavior of the function changes.
A) Increasing on
No change in the graph's behaviour
B) Decreasing on
Incresing on
The graph's behaviour changes at the point
C) Increasing on and
Decresing on
The graph's behaviour changes at the points and
D) Decreasing on
Increasing on
The graph's behaviour changes at the points and
E) Decreasing on
Incresing on
The graph's behaviour changes at the point
A) Increasing on
No change in the graph's behaviour
B) Decreasing on
Incresing on
The graph's behaviour changes at the point
C) Increasing on
and Decresing on
The graph's behaviour changes at the points
and D) Decreasing on
Increasing on
The graph's behaviour changes at the points
and E) Decreasing on
Incresing on
The graph's behaviour changes at the point
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
68
Use a graphing utility to graph the function, approximate the relative minimum or maximum of the function, and estimate the open intervals on which the function is increasing or decreasing.
A)
Decreasing on
Increasing on
Relative minimum:
B) Decreasing on
Increasing on
Relative maximum:
C) Decreasing on
Increasing on
Relative minimum:
Relative maximum:
D) Decreasing on
Increasing on
Relative minimum:
Relative maximum:
E) Decreasing on
Increasing on
Relative minimum:
Relative maximum:
A)
Decreasing on
Increasing on
Relative minimum:
B)
Decreasing on Increasing on
Relative maximum:
C)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
D)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
E)
Decreasing on Increasing on
Relative minimum:
Relative maximum:
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
69
The weekly profit (in hundreds of dollars) for a business from a product is given by the model where is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that measures advertising expenditures in dollars.
A)
B)
C)
D)
E)
(in hundreds of dollars) for a business from a product is given by the model where is the amount (in hundreds of dollars) spent on advertising.Rewrite the profit equation so that measures advertising expenditures in dollars.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
70
Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.
A) Vertical shifts down 3 units
B) Vertical shifts 2 units upward
C) Horizontal shift 1 unit to the right
D) Horizontal shifts 4 units to the left
E) Vertical shifts 3 units upward
to Then sketch the graph of by hand.Verify with a graphing utility. A) Vertical shifts down 3 units
B) Vertical shifts 2 units upward
C) Horizontal shift 1 unit to the right
D) Horizontal shifts 4 units to the left
E) Vertical shifts 3 units upward
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
71
Decide whether the function is even, odd, or neither.
A) Odd
B) Even
C) Neither even nor odd
A) Odd
B) Even
C) Neither even nor odd
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
72
Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is shifted three units to the left.
A)
B)
C)
D)
E)
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is shifted three units to the left.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
73
Sketch the graph of the function and determine whether the function is even, odd, or neither.
A) Neither even nor odd
B) Even
C) Odd
D) Odd
E) Neither even nor odd
A) Neither even nor odd
B)
Even C) Odd
D) Odd
E) Neither even nor odd
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
74
Describe the sequence of transformations from to Then sketch the graph of by hand.Verify with a graphing utility.
A) Shifted 5 units downward
B) Shifted 1 unit upward
C) Shifted 4 units to the left
D) Shifts 3 units to the right
E) 4 units to the left and 2 units upward
to Then sketch the graph of by hand.Verify with a graphing utility. A) Shifted 5 units downward
B) Shifted 1 unit upward
C) Shifted 4 units to the left
D) Shifts 3 units to the right
E) 4 units to the left and 2 units upward
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
75
Sketch the graph of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
76
Consider the graph of Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.
A)
B)
C)
D)
E)
Use your knowledge of rigid and nonrigid transformations to write an equation for the following descriptions. The graph of is reflected in the x-axis, shifted five units to the left, and shifted four unit upward.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
77
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
78
The cost of sending an overnight package from New York to Atlanta is $9.80 for up to, but not including, the first pound and $3.50 for each additional pound (or portion of a pound).A model for the total cost of sending the package is where is the weight of the package (in pounds).Sketch the graph of this function. Note that the function is the greatest integer function.
A)
B)
C)
D)
E)
of sending the package is where is the weight of the package (in pounds).Sketch the graph of this function. Note that the function is the greatest integer function.A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
79
Sketch the graph of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
80
Use the graph of to write an equation for the function whose graphs is shown below.
A)
B)
C)
D)
E)
to write an equation for the function whose graphs is shown below. A)
B)
C)
D)
E)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 97 في هذه المجموعة.
