تكلم مع الذكاء الاصطناعي
Deck 7: Prerequisites
ملء الشاشة (f)
سؤال
Find 
. 
A)
B)
C)
D)
E)
.
A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. 
A)
B)
C)
D)
E)
and .
A)
B)
C)
D)
E)
سؤال
Find (f - g)(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. 
A)48
B)39
C)9
D)0
E)-39
and .
A)48
B)39
C)9
D)0
E)-39
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. 
A)12
B)-10
C)7
D)14
E)10
and . A)12
B)-10
C)7
D)14
E)10
سؤال
Evaluate the indicated function for 
and 
. 
A)
B)
C)
D)
E)
and .
A)
B)
C)
D)
E)
سؤال
Find (f + g)(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find (f + g)(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find (f + g)(x). 
A)2x
B)4x
C)-4x
D)-2x
E)2x + 8
A)2x
B)4x
C)-4x
D)-2x
E)2x + 8
سؤال
Evaluate the indicated function for 
and 
. 
A)92
B)90
C)-86
D)89
E)91
and .
A)92
B)90
C)-86
D)89
E)91
سؤال
Evaluate the indicated function for 
and 
. 
A)30
B)
C)
D)
E)
and .
A)30
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find (f / g)(x).What is the domain of f / g? 
A)
; all real numbers x.
B)
; all real numbers x except x = 0
C)
; all real numbers x except x = 
D)
; all real numbers x except x = 0
E)
; all real numbers x except x = 
A)
; all real numbers x.B)
; all real numbers x except x = 0C)
; all real numbers x except x = D)
; all real numbers x except x = 0E)
; all real numbers x except x = سؤال
Find (fg)(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. 
A)28
B)38
C)-38
D)125
E)17
and .
A)28
B)38
C)-38
D)125
E)17
سؤال
Find (f - g)(x). 
A)2x - 6
B)6
C)2x - 3
D)2x + 6
E)2x
A)2x - 6
B)6
C)2x - 3
D)2x + 6
E)2x
سؤال
The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver's reaction time is given by 
, where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by 
.Find the function that represents the total stopping distance T.
A)
B)
C)
D)
E)
, where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by .Find the function that represents the total stopping distance T. A)
B)
C)
D)
E)
سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x except 
B)
Domain of 
: all real numbers x except 
C)
Domain of 
: all real numbers x except 
D)
Domain of 
: all real numbers x except 
E)
Domain of 
: all real numbers x except 
and the domain of the composite function. A)
Domain of : all real numbers x except B)
Domain of : all real numbers x except C)
Domain of : all real numbers x except D)
Domain of : all real numbers x except E)
Domain of : all real numbers x except سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x
B)
Domain of 
: all real numbers x
C)
Domain of 
: all real numbers x
D)
Domain of 
: all real numbers x
E)
Domain of 
: all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x سؤال
From 2003 through 2008, the sales 
(in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by 
Where t = 3 represents 2003.During the same six-year period, the sales
(in thousands of dollars) for the second restaurant can be modeled by
Write a function
that represents the total sales of the two restaurants owned by the same parent company.
A)
B)
C)
D)
E)
(in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by Where t = 3 represents 2003.During the same six-year period, the sales
(in thousands of dollars) for the second restaurant can be modeled by
Write a function
that represents the total sales of the two restaurants owned by the same parent company.
A)
B)
C)
D)
E)
سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x
B)
Domain of 
: all real numbers x
C)
Domain of 
: all real numbers x
D)
Domain of 
: all real numbers x
E)
Domain of 
: all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x
B)
Domain of 
: all real numbers x
C)
Domain of 
: all real numbers x
D)
Domain of 
: all real numbers x
E)
Domain of 
: all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x سؤال
The weekly cost C of producing units x in a manufacturing process is given by 
.The number of units x produced in t hours is given by 
.
Find the cost of the units produced in 6 hours.
A)11,855
B)11,850
C)11,846
D)13,350
E)11,854
.The number of units x produced in t hours is given by . Find the cost of the units produced in 6 hours.
A)11,855
B)11,850
C)11,846
D)13,350
E)11,854
سؤال
The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function 
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.
Evaluate the function
for t = 0 and 3.
A)h(0) = 0.1060, h(3) = 0.0783
B)h(0) = 0.3060, h(3) = 0.2783
C)h(0) = -0.2060, h(3) = -0.1783
D)h(0) = 0.1783, h(3) = 0.2060
E)h(0) = -0.1060, h(3) = -0.0783
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.Evaluate the function
for t = 0 and 3.A)h(0) = 0.1060, h(3) = 0.0783
B)h(0) = 0.3060, h(3) = 0.2783
C)h(0) = -0.2060, h(3) = -0.1783
D)h(0) = 0.1783, h(3) = 0.2060
E)h(0) = -0.1060, h(3) = -0.0783
سؤال
A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outer ripple is 
, where t is the time in seconds after the pebble strikes the water.The area of the circle is given by the function 
.Find and interpret 
.
A)
; 
represents the area of the circle at time t.
B)
; 
represents the area of the circle at time t.
C)
; 
represents the area of the circle at time t.
D)
; 
represents the area of the circle at time t.
E)
; 
represents the area of the circle at time t.
, where t is the time in seconds after the pebble strikes the water.The area of the circle is given by the function .Find and interpret . A)
; represents the area of the circle at time t.B)
; represents the area of the circle at time t.C)
; represents the area of the circle at time t.D)
; represents the area of the circle at time t.E)
; represents the area of the circle at time t. سؤال
The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models 
and 
Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the total number of Navy and Marines personnel combined.
B)
, which represents the total number of Navy and Marines personnel combined.
C)
, which represents the total number of Navy and Marines personnel combined.
D)
, which represents the total number of Navy and Marines personnel combined.
E)
, which represents the total number of Navy and Marines personnel combined.
and Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the total number of Navy and Marines personnel combined.B)
, which represents the total number of Navy and Marines personnel combined.C)
, which represents the total number of Navy and Marines personnel combined.D)
, which represents the total number of Navy and Marines personnel combined.E)
, which represents the total number of Navy and Marines personnel combined. سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x except 
B)
Domain of 
: all real numbers x except 
C)
Domain of 
: all real numbers x except 
D)
Domain of 
: all real numbers x except 
E)
Domain of 
: all real numbers x except 
and the domain of the composite function. A)
Domain of : all real numbers x except B)
Domain of : all real numbers x except C)
Domain of : all real numbers x except D)
Domain of : all real numbers x except E)
Domain of : all real numbers x except سؤال
Find (f + g)(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models 
and 
Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.
B)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.
C)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.
D)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.
E)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.
and Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.B)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.C)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.D)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.E)
, which represents the difference between the number of Navy personnel and the number of Marines personnel. سؤال
Find 
and the domain of the composite function. 
A)
Domain of 
: all real numbers x
B)
Domain of 
: all real numbers x
C)
Domain of 
: all real numbers x
D)
Domain of 
: all real numbers x
E)
Domain of 
: all real numbers x
and the domain of the composite function.
A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x سؤال
Consider the functions 
and 
.
Find
.
A)
B)
C)
D)
E)
and . Find
.
A)
B)
C)
D)
E)
سؤال
The spread of a contaminant is increasing in a circular pattern on the surface of a lake.The radius of the contaminant can be modeled by 
, where r is the radius in meters and t is the time in hours since contamination.
Find a function that gives the area A of the circular lake in terms of the time since the spread began.
A)
B)
C)
D)
E)
, where r is the radius in meters and t is the time in hours since contamination. Find a function that gives the area A of the circular lake in terms of the time since the spread began.
A)
B)
C)
D)
E)
سؤال
The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 .
Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.
A)
B)
C)
D)
E)
Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.
A)
B)
C)
D)
E)
سؤال
The number N of bacteria in a refrigerated food is given by 
where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by 
where t is the time in hours. Find the bacteria count after 0.5 hour.
A)About 565 bacteria
B)About 793 bacteria
C)About 653 bacteria
D)About 390 bacteria
E)About 705 bacteria
where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.
A)About 565 bacteria
B)About 793 bacteria
C)About 653 bacteria
D)About 390 bacteria
E)About 705 bacteria
سؤال
Find ( f / g )(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function 
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.
Find
.
A)
B)
C)
D)
E)
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.Find
.
A)
B)
C)
D)
E)
سؤال
Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function. 
A)
B)
C)
D)
E)none of the above
A)
B)
C)
D)
E)none of the above
سؤال
The monthly cost C of running the machinery in a factory for t hours is given by 
The number of hours t needed to produce x products is given by 
.
Find the equation representing the cost C of manufacturing x products.
A)
B)
C)
D)
E)
The number of hours t needed to produce x products is given by .Find the equation representing the cost C of manufacturing x products.
A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. ( fg )(1)
A)15
B)-35
C)-23
D)-25
E)-33
and . ( fg )(1)A)15
B)-35
C)-23
D)-25
E)-33
سؤال
Find ( fg )(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find ( f − g )(x). 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Evaluate the indicated function for 
and 
. 
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Use the graphs of f and g to evaluate the function. 
A)1
B)-2
C)4
D)-1
E)2
A)1
B)-2
C)4
D)-1
E)2
سؤال
For following function, select (on the same set of coordinate axes) a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Let f (x) = 2x + 1, g (x) = 3x - 2.Find the function.
Please give the answer as a simplified expression (not an equation).
Please give the answer as a simplified expression (not an equation).
سؤال
For following function, select (on the same set of coordinate axes) a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Let 
.Find the composite function which expresses the given correspondence correctly. 
A)
B)
C)
D)
E)none of the above
.Find the composite function which expresses the given correspondence correctly. A)
B)
C)
D)
E)none of the above
سؤال
For following function, select (on the same set of coordinate axes) a graph for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Use the given graph of f to select the graph for the following function. 
A)
B)
C)
D) 
E)
A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
For following function, select (on the same set of coordinate axes) a graph of function for 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Use the given graph of f to select the graph for the following function.
Y = f(2x)
A)
B)
C)
D)
E)
Y = f(2x)
A)
B)
C)
D)
E)
سؤال
Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
سؤال
Find 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
سؤال
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
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
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
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
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
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
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
سؤال
Use the given graph of f to select the graph for following function. 
A)
B)
C)
D)
E)
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
Write an equation for the function that is described by the given characteristic.
The shape of
, but shifted 17 units to the right.
A)
B)
C)
D)
E)
The shape of
, but shifted 17 units to the right.
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
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
Use the graph of 
to write an equation for the function whose graph is shown. 
A)
B)
C)
D)
E)None of the above
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)None of the above
سؤال
Write an equation for the function that is described by the given characteristic.
The shape of
, but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
The shape of
, but shifted three units to the left and reflected in both the x-axis and the y-axis.
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
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph. 
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
سؤال
Use the given graph of f to select the graph for following function. 
A)
B)
C)
D)
E)
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
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
Write an equation for the function that is described by the given characteristic.
The shape of
, but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
The shape of
, but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
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العب
ملء الشاشة (f)
Deck 7: Prerequisites
1
Find .
A)
B)
C)
D)
E)
.
A)
B)
C)
D)
E)
2
Evaluate the indicated function for and .
A)
B)
C)
D)
E)
and .
A)
B)
C)
D)
E)
3
Find (f - g)(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
4
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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5
Evaluate the indicated function for and .
A)48
B)39
C)9
D)0
E)-39
and .
A)48
B)39
C)9
D)0
E)-39
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6
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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7
Evaluate the indicated function for and .
A)12
B)-10
C)7
D)14
E)10
and . A)12
B)-10
C)7
D)14
E)10
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8
Evaluate the indicated function for and .
A)
B)
C)
D)
E)
and .
A)
B)
C)
D)
E)
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9
Find (f + g)(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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10
Find (f + g)(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Find (f + g)(x).
A)2x
B)4x
C)-4x
D)-2x
E)2x + 8
A)2x
B)4x
C)-4x
D)-2x
E)2x + 8
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12
Evaluate the indicated function for and .
A)92
B)90
C)-86
D)89
E)91
and .
A)92
B)90
C)-86
D)89
E)91
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13
Evaluate the indicated function for and .
A)30
B)
C)
D)
E)
and .
A)30
B)
C)
D)
E)
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14
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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15
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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16
Find (f / g)(x).What is the domain of f / g?
A) ; all real numbers x.
B) ; all real numbers x except x = 0
C) ; all real numbers x except x =
D) ; all real numbers x except x = 0
E) ; all real numbers x except x =
A)
; all real numbers x.B)
; all real numbers x except x = 0C)
; all real numbers x except x = D)
; all real numbers x except x = 0E)
; all real numbers x except x = فتح الحزمة
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17
Find (fg)(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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18
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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19
Evaluate the indicated function for and .
A)28
B)38
C)-38
D)125
E)17
and .
A)28
B)38
C)-38
D)125
E)17
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20
Find (f - g)(x).
A)2x - 6
B)6
C)2x - 3
D)2x + 6
E)2x
A)2x - 6
B)6
C)2x - 3
D)2x + 6
E)2x
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21
The research and development department of an automobile manufacturer has determined that when a driver is required to stop quickly to avoid an accident, the distance (in feet) the car travels during the driver's reaction time is given by , where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by .Find the function that represents the total stopping distance T.
A)
B)
C)
D)
E)
, where x is the speed of the car in miles per hour.The distance (in feet) traveled while the driver is braking is given by .Find the function that represents the total stopping distance T. A)
B)
C)
D)
E)
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22
Find and the domain of the composite function.
A) Domain of : all real numbers x except
B) Domain of : all real numbers x except
C) Domain of : all real numbers x except
D) Domain of : all real numbers x except
E) Domain of : all real numbers x except
and the domain of the composite function. A)
Domain of : all real numbers x except B)
Domain of : all real numbers x except C)
Domain of : all real numbers x except D)
Domain of : all real numbers x except E)
Domain of : all real numbers x except فتح الحزمة
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23
Find and the domain of the composite function.
A) Domain of : all real numbers x
B) Domain of : all real numbers x
C) Domain of : all real numbers x
D) Domain of : all real numbers x
E) Domain of : all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x فتح الحزمة
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24
From 2003 through 2008, the sales (in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by
Where t = 3 represents 2003.During the same six-year period, the sales (in thousands of dollars) for the second restaurant can be modeled by
Write a function that represents the total sales of the two restaurants owned by the same parent company.
A)
B)
C)
D)
E)
(in thousands of dollars) for one of two restaurants owned by the same parent company can be modeled by Where t = 3 represents 2003.During the same six-year period, the sales
(in thousands of dollars) for the second restaurant can be modeled by
Write a function
that represents the total sales of the two restaurants owned by the same parent company.
A)
B)
C)
D)
E)
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25
Find and the domain of the composite function.
A) Domain of : all real numbers x
B) Domain of : all real numbers x
C) Domain of : all real numbers x
D) Domain of : all real numbers x
E) Domain of : all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x فتح الحزمة
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26
Find and the domain of the composite function.
A) Domain of : all real numbers x
B) Domain of : all real numbers x
C) Domain of : all real numbers x
D) Domain of : all real numbers x
E) Domain of : all real numbers x
and the domain of the composite function. A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x فتح الحزمة
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27
The weekly cost C of producing units x in a manufacturing process is given by .The number of units x produced in t hours is given by .
Find the cost of the units produced in 6 hours.
A)11,855
B)11,850
C)11,846
D)13,350
E)11,854
.The number of units x produced in t hours is given by . Find the cost of the units produced in 6 hours.
A)11,855
B)11,850
C)11,846
D)13,350
E)11,854
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28
The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function , where t represents the year, with t = 0 corresponding to 2000.
Evaluate the function for t = 0 and 3.
A)h(0) = 0.1060, h(3) = 0.0783
B)h(0) = 0.3060, h(3) = 0.2783
C)h(0) = -0.2060, h(3) = -0.1783
D)h(0) = 0.1783, h(3) = 0.2060
E)h(0) = -0.1060, h(3) = -0.0783
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.Evaluate the function
for t = 0 and 3.A)h(0) = 0.1060, h(3) = 0.0783
B)h(0) = 0.3060, h(3) = 0.2783
C)h(0) = -0.2060, h(3) = -0.1783
D)h(0) = 0.1783, h(3) = 0.2060
E)h(0) = -0.1060, h(3) = -0.0783
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29
A pebble is dropped into a calm pond, causing ripples in the form of concentric circles.The radius (in feet) of the outer ripple is , where t is the time in seconds after the pebble strikes the water.The area of the circle is given by the function .Find and interpret .
A) ; represents the area of the circle at time t.
B) ; represents the area of the circle at time t.
C) ; represents the area of the circle at time t.
D) ; represents the area of the circle at time t.
E) ; represents the area of the circle at time t.
, where t is the time in seconds after the pebble strikes the water.The area of the circle is given by the function .Find and interpret . A)
; represents the area of the circle at time t.B)
; represents the area of the circle at time t.C)
; represents the area of the circle at time t.D)
; represents the area of the circle at time t.E)
; represents the area of the circle at time t. فتح الحزمة
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30
The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models and
Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret .
A) , which represents the total number of Navy and Marines personnel combined.
B) , which represents the total number of Navy and Marines personnel combined.
C) , which represents the total number of Navy and Marines personnel combined.
D) , which represents the total number of Navy and Marines personnel combined.
E) , which represents the total number of Navy and Marines personnel combined.
and Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the total number of Navy and Marines personnel combined.B)
, which represents the total number of Navy and Marines personnel combined.C)
, which represents the total number of Navy and Marines personnel combined.D)
, which represents the total number of Navy and Marines personnel combined.E)
, which represents the total number of Navy and Marines personnel combined. فتح الحزمة
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31
Find and the domain of the composite function.
A) Domain of : all real numbers x except
B) Domain of : all real numbers x except
C) Domain of : all real numbers x except
D) Domain of : all real numbers x except
E) Domain of : all real numbers x except
and the domain of the composite function. A)
Domain of : all real numbers x except B)
Domain of : all real numbers x except C)
Domain of : all real numbers x except D)
Domain of : all real numbers x except E)
Domain of : all real numbers x except فتح الحزمة
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32
Find (f + g)(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
The total numbers of Navy personnel N (in thousands) and Marines personnel M (in thousands) from 2000 through 2007 can be approximated by the models and
Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret .
A) , which represents the difference between the number of Navy personnel and the number of Marines personnel.
B) , which represents the difference between the number of Navy personnel and the number of Marines personnel.
C) , which represents the difference between the number of Navy personnel and the number of Marines personnel.
D) , which represents the difference between the number of Navy personnel and the number of Marines personnel.
E) , which represents the difference between the number of Navy personnel and the number of Marines personnel.
and Where t represents the year, with t = 0 corresponding to 2000.
Find and interpret
.
A)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.B)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.C)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.D)
, which represents the difference between the number of Navy personnel and the number of Marines personnel.E)
, which represents the difference between the number of Navy personnel and the number of Marines personnel. فتح الحزمة
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34
Find and the domain of the composite function.
A) Domain of : all real numbers x
B) Domain of : all real numbers x
C) Domain of : all real numbers x
D) Domain of : all real numbers x
E) Domain of : all real numbers x
and the domain of the composite function.
A)
Domain of : all real numbers xB)
Domain of : all real numbers xC)
Domain of : all real numbers xD)
Domain of : all real numbers xE)
Domain of : all real numbers x فتح الحزمة
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35
Consider the functions and .
Find .
A)
B)
C)
D)
E)
and . Find
.
A)
B)
C)
D)
E)
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36
The spread of a contaminant is increasing in a circular pattern on the surface of a lake.The radius of the contaminant can be modeled by , where r is the radius in meters and t is the time in hours since contamination.
Find a function that gives the area A of the circular lake in terms of the time since the spread began.
A)
B)
C)
D)
E)
, where r is the radius in meters and t is the time in hours since contamination. Find a function that gives the area A of the circular lake in terms of the time since the spread began.
A)
B)
C)
D)
E)
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37
The suggested retail price of a new hybrid car is p dollars.The dealership advertises a factory rebate of $2000 .
Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.
A)
B)
C)
D)
E)
Select a function R in terms of p giving the cost of the hybrid car after receiving the rebate from the factory.
A)
B)
C)
D)
E)
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38
The number N of bacteria in a refrigerated food is given by where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.
A)About 565 bacteria
B)About 793 bacteria
C)About 653 bacteria
D)About 390 bacteria
E)About 705 bacteria
where T is the temperature of the food in degrees Celsius.When the food is removed from refrigeration, the temperature of the food is given by where t is the time in hours. Find the bacteria count after 0.5 hour.
A)About 565 bacteria
B)About 793 bacteria
C)About 653 bacteria
D)About 390 bacteria
E)About 705 bacteria
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39
Find ( f / g )(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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40
The number of people playing tennis T (in millions) in the United States from 2000 through 2007 can be approximated by the function
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function , where t represents the year, with t = 0 corresponding to 2000.
Find .
A)
B)
C)
D)
E)
And the U.S.population P (in millions) from 2000 through 2007 can be approximated by the function
, where t represents the year, with t = 0 corresponding to 2000.Find
.
A)
B)
C)
D)
E)
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41
Let f (x) = 2x + 1, g(x) = 3x - 2.Find the function.
A)
B)
C)
D)
E)none of the above
A)
B)
C)
D)
E)none of the above
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42
The monthly cost C of running the machinery in a factory for t hours is given by The number of hours t needed to produce x products is given by .
Find the equation representing the cost C of manufacturing x products.
A)
B)
C)
D)
E)
The number of hours t needed to produce x products is given by .Find the equation representing the cost C of manufacturing x products.
A)
B)
C)
D)
E)
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43
Evaluate the indicated function for and . ( fg )(1)
A)15
B)-35
C)-23
D)-25
E)-33
and . ( fg )(1)A)15
B)-35
C)-23
D)-25
E)-33
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44
Find ( fg )(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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45
Find ( f − g )(x).
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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46
Evaluate the indicated function for and .
A)
B)
C)
D)
E)
and . A)
B)
C)
D)
E)
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47
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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48
Use the graphs of f and g to evaluate the function.
A)1
B)-2
C)4
D)-1
E)2
A)1
B)-2
C)4
D)-1
E)2
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49
For following function, select (on the same set of coordinate axes) a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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50
Let f (x) = 2x + 1, g (x) = 3x - 2.Find the function.
Please give the answer as a simplified expression (not an equation).
Please give the answer as a simplified expression (not an equation).
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51
For following function, select (on the same set of coordinate axes) a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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52
Let .Find the composite function which expresses the given correspondence correctly.
A)
B)
C)
D)
E)none of the above
.Find the composite function which expresses the given correspondence correctly. A)
B)
C)
D)
E)none of the above
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53
For following function, select (on the same set of coordinate axes) a graph for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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54
Use the given graph of f to select the graph for the following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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55
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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56
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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57
For following function, select (on the same set of coordinate axes) a graph of function for .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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58
Use the given graph of f to select the graph for the following function.
Y = f(2x)
A)
B)
C)
D)
E)
Y = f(2x)
A)
B)
C)
D)
E)
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59
Let f (x) = 2x - 1, g(x) = 3x - 2.Find the domain of the function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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60
Find .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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61
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
A)Vertical stretch of
B)Horizontal stretch of
C)Vertical stretch of
D)Vertical stretch of
E)Horizontal stretch of
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62
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)
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63
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
A)Reflection in the x-axis of
B)Horizontal shift of x-axis of
C)Reflection in the y-axis of
D)Horizontal shift of x-axis of
E)Reflection in the y-axis of
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64
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
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65
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
A)Horizontal shift of
B)Vertical shift of
C)Vertical shift of
D)Horizontal shift of
E)Vertical shift of
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66
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
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67
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
A)Reflection in the x-axis and vertical shift of
B)Vertical shift of x-axis and vertical shift of
C)Reflection in the x-axis and vertical shift of
D)Horizontal shift of x-axis and vertical shift of
E)Horizontal shift of x-axis and vertical shift of
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68
Use the given graph of f to select the graph for following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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69
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
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70
Write an equation for the function that is described by the given characteristic.
The shape of , but shifted 17 units to the right.
A)
B)
C)
D)
E)
The shape of
, but shifted 17 units to the right.
A)
B)
C)
D)
E)
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71
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
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72
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
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73
Use the graph of to write an equation for the function whose graph is shown.
A)
B)
C)
D)
E)None of the above
to write an equation for the function whose graph is shown. A)
B)
C)
D)
E)None of the above
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74
Write an equation for the function that is described by the given characteristic.
The shape of , but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
The shape of
, but shifted three units to the left and reflected in both the x-axis and the y-axis.
A)
B)
C)
D)
E)
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75
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
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76
Identify the parent function and the transformation shown in the graph.Write an equation for the function shown in the graph.
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
A)Horizontal shift of the x-axis of
B)Vertical shift of the y-axis of
C)Reflection in the x-axis of
D)Horizontal shift of the y-axis of
E)Vertical shift of the x-axis of
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77
Use the given graph of f to select the graph for following function.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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78
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
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79
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
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80
Write an equation for the function that is described by the given characteristic.
The shape of , but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
The shape of
, but shifted three units to the right and five units downward.
A)
B)
C)
D)
E)
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