تكلم مع الذكاء الاصطناعي
Deck 6: Transformations of Functions and Their Graphs
ملء الشاشة (f)
سؤال
Educational psychologists suggest that a child's intellectual capacity, I, can be represented as a function of time, t, in months, as follows:
,Where a > 0, b > 0 are constants. What is the effect on the graph of I of decreasing the value of b?
A) The graph gets closer to the asymptote more quickly.
B) The asymptote moves to the left.
C) The asymptote moves down.
D) The graph gets closer to the asymptote less quickly.
,Where a > 0, b > 0 are constants. What is the effect on the graph of I of decreasing the value of b?A) The graph gets closer to the asymptote more quickly.
B) The asymptote moves to the left.
C) The asymptote moves down.
D) The graph gets closer to the asymptote less quickly.
سؤال
Let 
. Which of the following formulas transforms the graph of g by shifting it 5 units to the right, reflecting it about the x-axis, and then shifting it up 3 units?
A)
B)
C)
D)
. Which of the following formulas transforms the graph of g by shifting it 5 units to the right, reflecting it about the x-axis, and then shifting it up 3 units?A)
B)
C)
D)
سؤال
Let 
. The domain of the formula that transforms the graph of g by shifting it 3 units to the right, reflecting it about the x-axis, and then shifting it up 6 units is all real numbers except x = _____.
. The domain of the formula that transforms the graph of g by shifting it 3 units to the right, reflecting it about the x-axis, and then shifting it up 6 units is all real numbers except x = _____. سؤال
Let 
. Let 
be the function that transforms the graph of g by shifting it 2 units to the right, reflecting it about the x-axis, and then shifting it up 7 units. Is 
even, odd, or neither?
. Let be the function that transforms the graph of g by shifting it 2 units to the right, reflecting it about the x-axis, and then shifting it up 7 units. Is even, odd, or neither? سؤال
A cup of coffee is initially at 150 
F, which is 75 
F above room temperature. The difference between the coffee's temperature and the room's temperature decreases at the hourly rate of 85%. Which of the following formulas gives T(t) , the coffee's temperature after t hours have elapsed?
A)
B)
C)
D)
F, which is 75 F above room temperature. The difference between the coffee's temperature and the room's temperature decreases at the hourly rate of 85%. Which of the following formulas gives T(t) , the coffee's temperature after t hours have elapsed?A)
B)
C)
D)
سؤال
Below is a graph of the function 
. If you were to sketch a graph of 
, what point would the point (4, 1) correspond to?
. If you were to sketch a graph of , what point would the point (4, 1) correspond to? سؤال
Below is a graph of the function 
. If you were to sketch a graph of 
, what point would the point (2, 0) correspond to?
. If you were to sketch a graph of , what point would the point (2, 0) correspond to? سؤال
Given the graph of 
below, find a possible formula fo 
r .
A)
B)
C)
D)
below, find a possible formula fo r .A)
B)
C)
D)
سؤال
One of these graphs shows a transformation of an exponential function, and one is a transformation of a log function. The remaining graph is not a transformation of either an exponential or log function. Which graph is the transformation of a log function?
A)
B)
C)
A)
B)
C)
سؤال
The graph of 
contains the point (-4, 0). What is the corresponding point on the graph of 
?
contains the point (-4, 0). What is the corresponding point on the graph of ? سؤال
The first figure is the graph of 
. Which of the other figures (a)-(f) show the graph of 
?
A)
B)
C)
D)
E)
F)
. Which of the other figures (a)-(f) show the graph of ?A)
B)
C)
D)
E)
F)
سؤال
The graph of 
is shown in the first figure. Which of the other graphs (a)-(d) correspond to the formula 
?
A)
B)
C)
D)
is shown in the first figure. Which of the other graphs (a)-(d) correspond to the formula ? A)
B)
C)
D)
سؤال
Let 
be the profit made by a water park in terms of the number of people, n, visiting the park each day. If 
people attended the park yesterday, what is meant by the expression 
?
A) 10 percent of yesterday's profit
B) Yesterday's profit if 10 times as many people had visited
C) Yesterday's profit plus an additional $10
D) Yesterday's profit if an additional 10 people had visited
be the profit made by a water park in terms of the number of people, n, visiting the park each day. If people attended the park yesterday, what is meant by the expression ?A) 10 percent of yesterday's profit
B) Yesterday's profit if 10 times as many people had visited
C) Yesterday's profit plus an additional $10
D) Yesterday's profit if an additional 10 people had visited
سؤال
The point (a, b) lies on the graph of 
. If the graph is reflected across the y-axis and compressed toward the y-axis by a factor of d (with d < 1), and then translated downward 3 units, what are the new coordinates for the point (a, b)?
A)
B)
C)
D)
. If the graph is reflected across the y-axis and compressed toward the y-axis by a factor of d (with d < 1), and then translated downward 3 units, what are the new coordinates for the point (a, b)?A)
B)
C)
D)
سؤال
Let 
. Which of the following describe how the function 
transforms the graph of f ?
A)
B)
C)
D)
. Which of the following describe how the function transforms the graph of f ?A)
B)
C)
D)
سؤال
Let 
. Which of the following describe how the function 
transforms the graph of f ?
A)
B)
C)
D)
. Which of the following describe how the function transforms the graph of f ?A)
B)
C)
D)
سؤال
سؤال
سؤال
سؤال
سؤال
Let 4 and -4 be the zeros of the quadratic function 
What are the zeros of the function
?
A) 4
B) -4
C) 2
D) -2
E) 8
F)-8
What are the zeros of the function?A) 4
B) -4
C) 2
D) -2
E) 8
F)-8
سؤال
Let 
be defined by the following graph, and let 
and 
.
Arrange the following values in order from least to greatest by placing a "1" next to the least, a "2" next to the next least, etc.
A.
B.
C.
be defined by the following graph, and let and . Arrange the following values in order from least to greatest by placing a "1" next to the least, a "2" next to the next least, etc.A.
B.
C.
سؤال
Use the table below to answer the following questions.
If 
, compute
A)
B)
C)
If , computeA)
B)
C)
سؤال
Sketch the graph of 
سؤال
The graph of 
contains the point (2, 3). What is the corresponding point on the graph of 
?
contains the point (2, 3). What is the corresponding point on the graph of ? سؤال
Given 
, the following figure shows the graphs of 
, 
, and 
. Which curve is the graph of 
?
, the following figure shows the graphs of , , and . Which curve is the graph of ? سؤال
Using the following table, find 
for x = -0.5. 
for x = -0.5. سؤال
Let 
be the height of a box in inches. Find a formula for the height 
in feet?
be the height of a box in inches. Find a formula for the height in feet?
سؤال
The graphs of f
and
are shown at the right. 
.
Which of the following gives a formula for
in terms of 
?
A)
B)
C)
D)
and
are shown at the right. . Which of the following gives a formula for
in terms of ?A)
B)
C)
D)
سؤال
Suppose 
is an even function. Determine whether 
is odd, even, or neither. Write "cannot tell" if there is not enough information to determine.
is an even function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine. سؤال
Suppose 
is an odd function. Determine whether 
is odd, even, or neither. Write "cannot tell" if there is not enough information to determine.
is an odd function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine. سؤال
Let 
represent the volume of a box with square base of side length 
and height 6. By what percent does the volume increase if the side length is increased by 20%?
represent the volume of a box with square base of side length and height 6. By what percent does the volume increase if the side length is increased by 20%? سؤال
Let 
represent the volume in cubic feet of a box with square base of side length 
Feet and height 8 feet. Let 
represent the volume in cubic inches of a box with square base of side length 
inches and height 96 inches. Which of the following is the correct formula for 
In terms of
?
A)
B)
C)
D)
represent the volume in cubic feet of a box with square base of side length Feet and height 8 feet. Let represent the volume in cubic inches of a box with square base of side length inches and height 96 inches. Which of the following is the correct formula for In terms of?A)
B)
C)
D)
سؤال
The domain of 
is 
and the range is 
. What is the domain and range of 
?
is and the range is . What is the domain and range of ? سؤال
Describe the effect of the transformation 
on the graph of 
on the graph of سؤال
Let 
be the value of an investment 
months after the account was open. Write an expression that represents the value of the investment increased by 15%.
be the value of an investment months after the account was open. Write an expression that represents the value of the investment increased by 15%. سؤال
Which of the following describes the effect of the transformation 
On the graph of the function 
?
A) The graph is stretched vertically by a factor of 6 and stretched horizontally by a factor of 6.
B) The graph is stretched vertically by a factor of 6 and shrunk horizontally by a factor of 1/8.
C) The graph is shrunk vertically by a factor of 1/8 and stretched horizontally by a factor of 6.
D) The graph is shrunk vertically by a factor of 1/8 and shrunk horizontally by a factor of 1/8 .
On the graph of the function ?A) The graph is stretched vertically by a factor of 6 and stretched horizontally by a factor of 6.
B) The graph is stretched vertically by a factor of 6 and shrunk horizontally by a factor of 1/8.
C) The graph is shrunk vertically by a factor of 1/8 and stretched horizontally by a factor of 6.
D) The graph is shrunk vertically by a factor of 1/8 and shrunk horizontally by a factor of 1/8 .
سؤال
Which of the following describes the effect of the transformation 
On the graph of the function 
?
A) The graph is stretched vertically by a factor of 4 and stretched horizontally by a factor of 4.
B) The graph is stretched vertically by a factor of 4 and compressed horizontally by a factor of 1/5 .
C) The graph is compressed vertically by a factor of 1/5 and stretched horizontally by a factor of 4.
D) The graph is compressed vertically by a factor of 1/5 and compressed horizontally by a factor of 1/5 .
On the graph of the function ?A) The graph is stretched vertically by a factor of 4 and stretched horizontally by a factor of 4.
B) The graph is stretched vertically by a factor of 4 and compressed horizontally by a factor of 1/5 .
C) The graph is compressed vertically by a factor of 1/5 and stretched horizontally by a factor of 4.
D) The graph is compressed vertically by a factor of 1/5 and compressed horizontally by a factor of 1/5 .
سؤال
The point 
lies on the graph of 
. What point must lie on the graph of 
?
lies on the graph of . What point must lie on the graph of ? سؤال
The point 
lies on the graph of 
. If the graph of 11ee8201_b9fd_2ffc_8e66_930a3c09055a_TB10073_11 is compressed vertically by a factor of 
and stretched horizontally by a factor of 9, what point must lie on the transformed graph?
lies on the graph of . If the graph of 11ee8201_b9fd_2ffc_8e66_930a3c09055a_TB10073_11 is compressed vertically by a factor of and stretched horizontally by a factor of 9, what point must lie on the transformed graph? سؤال
The point 
lies on the graph of 
. If the graph of f is stretched vertically by a factor of 9 and compressed horizontally by a factor of 
, what point must lie on the transformed graph?
lies on the graph of . If the graph of f is stretched vertically by a factor of 9 and compressed horizontally by a factor of , what point must lie on the transformed graph? سؤال
The point 
lies on the graph of 
. If the graph of f is compressed vertically by a factor of 5 and compressed horizontally by a factor of 
, what point must lie on the transformed graph?
lies on the graph of . If the graph of f is compressed vertically by a factor of 5 and compressed horizontally by a factor of , what point must lie on the transformed graph? سؤال
The following figure shows the graph of 
And the graphs of several multiples of 
.
Which of the following statements are true?
A) c < 0
B) c < d
C) d < 0
And the graphs of several multiples of . Which of the following statements are true?A) c < 0
B) c < d
C) d < 0
سؤال
Below is a graph of the function 
. If you were to sketch a graph of 
, what point would the point (0.6, -0.4) correspond to?
. If you were to sketch a graph of , what point would the point (0.6, -0.4) correspond to? سؤال
The following table gives values for 
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas.
Estimate the cost of drilling a well that is 40 feet deep.
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. Estimate the cost of drilling a well that is 40 feet deep. سؤال
The following table gives values for 
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. 
The ranch sits above a dense layer of bedrock. At what depth do you estimate that the bedrock layer begins?
A) Between 40 and 60 feet.
B) Between 100 and 120 feet.
C) Between 60 and 80 feet.
D) Between 80 and 100 feet.
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. The ranch sits above a dense layer of bedrock. At what depth do you estimate that the bedrock layer begins?A) Between 40 and 60 feet.
B) Between 100 and 120 feet.
C) Between 60 and 80 feet.
D) Between 80 and 100 feet.
سؤال
Let 
. Write a formula for the following transformations of f.
A)
B)
C)
. Write a formula for the following transformations of f.A)
B)
C)
سؤال
The graph of 
is given below. Sketch a graph of 
is given below. Sketch a graph of سؤال
A bowling alley charges $3.10 for shoes plus $2.00 per game bowled. Let 
Be the total cost for bowling g games (including shoe rental). Now suppose the bowling alley decides to increase the cost for shoes by $1.10 and include the first game for free. What is the formula for the new total cost,
, of bowling g games as a transformation of 
?
A)
B)
C)
D)
Be the total cost for bowling g games (including shoe rental). Now suppose the bowling alley decides to increase the cost for shoes by $1.10 and include the first game for free. What is the formula for the new total cost,, of bowling g games as a transformation of ?A)
B)
C)
D)
سؤال
The amount of money in your bank account is given by 
. Which of the following formulas matches the description "$110 more than I have in my bank account"?
A)
B)
C)
D)
. Which of the following formulas matches the description "$110 more than I have in my bank account"?
A)
B)
C)
D)
سؤال
The amount of money in your bank account is given by 
. Which of the following formulas matches the description "the amount of money I will have in my bank account 30 years from now"?
A)
B)
C)
D)
. Which of the following formulas matches the description "the amount of money I will have in my bank account 30 years from now"?
A)
B)
C)
D)
سؤال
The domain of 
is 
and the range is 
. What is the domain and range of 
?
is and the range is . What is the domain and range of ? سؤال
The graph of 
is the graph of 
after it has been vertically stretched or shrunk. The point (5, 12) lies on the graph of 
. The corresponding point on the graph of
is 
. What is a possible formula for 
in terms of 
?
is the graph of after it has been vertically stretched or shrunk. The point (5, 12) lies on the graph of . The corresponding point on the graph of is . What is a possible formula for in terms of ? سؤال
The graphs of 
and
are shown below. 
.Which of the following gives a formula for
in terms of 
?
A)
B)
C)
D)
and are shown below. .Which of the following gives a formula for
in terms of ?A)
B)
C)
D)
سؤال
The graph of 
contains the point (3,-2). What corresponding point must be on the graph of 
?
contains the point (3,-2). What corresponding point must be on the graph of ? سؤال
The graph of 
Contains the point (4,-5). Which of the following points must be on the graph of 
?
A)
B)
C)
D)
Contains the point (4,-5). Which of the following points must be on the graph of ?A)
B)
C)
D)
سؤال
The function 
is obtained from 
by a single transformation. Use the tables below to find a formula for 
in terms of 
. 
is obtained from by a single transformation. Use the tables below to find a formula for in terms of . سؤال
If 
is an odd function, determine whether 
is odd, even, or neither. State "cannot tell" if there is not enough information to determine.
is an odd function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine. سؤال
If 
is an even function, determine whether 
is odd, even, or neither. State "cannot tell" if there is not enough information to determine.
is an even function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine. سؤال
The domain of 
is 
and the range is 
. If 
, what is the domain and range of 
?
is and the range is . If , what is the domain and range of ? سؤال
Suppose the range of 
is 
. Let 
. There exists some 
such that 
.
is . Let . There exists some such that . سؤال
Graph 
if 
.
if . سؤال
Graph 
if 
.
if . سؤال
The average rate of change of 
over 
is -4. Find the average rate of change of 
over 
.
over is -4. Find the average rate of change of over . سؤال
If the graph of the line 
is reflected about the x-axis, the resulting line has the equation y = _____ x + _____.
is reflected about the x-axis, the resulting line has the equation y = _____ x + _____. سؤال
سؤال
The function 
has odd symmetry and the function 
has even symmetry. Is the function 
odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? سؤال
The function 
has odd symmetry and the function 
has even symmetry. Is the function 
odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? سؤال
The function 
has odd symmetry and the function 
has even symmetry. Is the function 
odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? سؤال
Some of the values of 
are given in the following table. If 
is an even function, what is 
?
are given in the following table. If is an even function, what is ? سؤال
The following table gives values for the functions f and g.
Which of the following statements are true?
A) f is symmetric about the x-axis.
B) g is symmetric about the x-axis.
C) f is symmetric about the y-axis.
D) g is symmetric about the y-axis.
E) f is symmetric about the origin.
F)g is symmetric about the origin.
Which of the following statements are true?A) f is symmetric about the x-axis.
B) g is symmetric about the x-axis.
C) f is symmetric about the y-axis.
D) g is symmetric about the y-axis.
E) f is symmetric about the origin.
F)g is symmetric about the origin.
سؤال
The following table gives some values for the function 
. If 
has even symmetry, what is 
?
. If has even symmetry, what is ? سؤال
The graph of 
contains the point (2, -3). What point must lie on the reflected graph if the graph is reflected about the x-axis?
contains the point (2, -3). What point must lie on the reflected graph if the graph is reflected about the x-axis? سؤال
The graph of 
contains the point (2, -1). What is the corresponding point on the graph if 
is an odd function?
contains the point (2, -1). What is the corresponding point on the graph if is an odd function? سؤال
Given the following table of values for 
, find 
when x = 2. If you do not have sufficient information, enter "cannot determine". 
, find when x = 2. If you do not have sufficient information, enter "cannot determine". سؤال
How are the graphs of 
And 
related?
A)
B)
C)
D)
E) None of the above.
And related?A)
B)
C)
D)
E) None of the above.
سؤال
What is the formula for 
if
?
A)
B)
C)
D)
if ?A)
B)
C)
D)
سؤال
Is the function 
odd, even, or neither?
odd, even, or neither? سؤال
If the following is the graph of 
. 
Sketch the graph of
.
. Sketch the graph of
. سؤال
The following is the graph of 
. 
Sketch the graph of 
.
. Sketch the graph of .
فتح الحزمة
قم بالتسجيل لفتح البطاقات في هذه المجموعة!
Unlock Deck
Unlock Deck
1/106
العب
ملء الشاشة (f)
Deck 6: Transformations of Functions and Their Graphs
1
Educational psychologists suggest that a child's intellectual capacity, I, can be represented as a function of time, t, in months, as follows:
,Where a > 0, b > 0 are constants. What is the effect on the graph of I of decreasing the value of b?
A) The graph gets closer to the asymptote more quickly.
B) The asymptote moves to the left.
C) The asymptote moves down.
D) The graph gets closer to the asymptote less quickly.
,Where a > 0, b > 0 are constants. What is the effect on the graph of I of decreasing the value of b?A) The graph gets closer to the asymptote more quickly.
B) The asymptote moves to the left.
C) The asymptote moves down.
D) The graph gets closer to the asymptote less quickly.
The graph gets closer to the asymptote less quickly.
2
Let . Which of the following formulas transforms the graph of g by shifting it 5 units to the right, reflecting it about the x-axis, and then shifting it up 3 units?
A)
B)
C)
D)
. Which of the following formulas transforms the graph of g by shifting it 5 units to the right, reflecting it about the x-axis, and then shifting it up 3 units?A)
B)
C)
D)
3
Let . The domain of the formula that transforms the graph of g by shifting it 3 units to the right, reflecting it about the x-axis, and then shifting it up 6 units is all real numbers except x = _____.
. The domain of the formula that transforms the graph of g by shifting it 3 units to the right, reflecting it about the x-axis, and then shifting it up 6 units is all real numbers except x = _____.3
4
Let . Let be the function that transforms the graph of g by shifting it 2 units to the right, reflecting it about the x-axis, and then shifting it up 7 units. Is even, odd, or neither?
. Let be the function that transforms the graph of g by shifting it 2 units to the right, reflecting it about the x-axis, and then shifting it up 7 units. Is even, odd, or neither? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
5
A cup of coffee is initially at 150 F, which is 75 F above room temperature. The difference between the coffee's temperature and the room's temperature decreases at the hourly rate of 85%. Which of the following formulas gives T(t) , the coffee's temperature after t hours have elapsed?
A)
B)
C)
D)
F, which is 75 F above room temperature. The difference between the coffee's temperature and the room's temperature decreases at the hourly rate of 85%. Which of the following formulas gives T(t) , the coffee's temperature after t hours have elapsed?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
6
Below is a graph of the function . If you were to sketch a graph of , what point would the point (4, 1) correspond to?
. If you were to sketch a graph of , what point would the point (4, 1) correspond to? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
7
Below is a graph of the function . If you were to sketch a graph of , what point would the point (2, 0) correspond to?
. If you were to sketch a graph of , what point would the point (2, 0) correspond to? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
8
Given the graph of below, find a possible formula fo r .
A)
B)
C)
D)
below, find a possible formula fo r .A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
9
One of these graphs shows a transformation of an exponential function, and one is a transformation of a log function. The remaining graph is not a transformation of either an exponential or log function. Which graph is the transformation of a log function?
A)
B)
C)
A)
B)
C)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
10
The graph of contains the point (-4, 0). What is the corresponding point on the graph of ?
contains the point (-4, 0). What is the corresponding point on the graph of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
11
The first figure is the graph of . Which of the other figures (a)-(f) show the graph of ?
A)
B)
C)
D)
E)
F)
. Which of the other figures (a)-(f) show the graph of ?A)
B)
C)
D)
E)
F)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
12
The graph of is shown in the first figure. Which of the other graphs (a)-(d) correspond to the formula ?
A)
B)
C)
D)
is shown in the first figure. Which of the other graphs (a)-(d) correspond to the formula ? A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
13
Let be the profit made by a water park in terms of the number of people, n, visiting the park each day. If people attended the park yesterday, what is meant by the expression ?
A) 10 percent of yesterday's profit
B) Yesterday's profit if 10 times as many people had visited
C) Yesterday's profit plus an additional $10
D) Yesterday's profit if an additional 10 people had visited
be the profit made by a water park in terms of the number of people, n, visiting the park each day. If people attended the park yesterday, what is meant by the expression ?A) 10 percent of yesterday's profit
B) Yesterday's profit if 10 times as many people had visited
C) Yesterday's profit plus an additional $10
D) Yesterday's profit if an additional 10 people had visited
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
14
The point (a, b) lies on the graph of . If the graph is reflected across the y-axis and compressed toward the y-axis by a factor of d (with d < 1), and then translated downward 3 units, what are the new coordinates for the point (a, b)?
A)
B)
C)
D)
. If the graph is reflected across the y-axis and compressed toward the y-axis by a factor of d (with d < 1), and then translated downward 3 units, what are the new coordinates for the point (a, b)?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
15
Let . Which of the following describe how the function transforms the graph of f ?
A)
B)
C)
D)
. Which of the following describe how the function transforms the graph of f ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
16
Let . Which of the following describe how the function transforms the graph of f ?
A)
B)
C)
D)
. Which of the following describe how the function transforms the graph of f ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
17
The graph of a function f has been shifted down 4 units, shifted 4 units to the right, and then stretched vertically by a factor of 9. The new graph is produced by a function g. Find a formula for g in terms of f.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
18
The graph of a function f has been shifted down 2 units, shifted 5 units to the right, and then stretched vertically by a factor of 8, and compressed horizontally by a factor of 4. The new graph is produced by a function g. Find a formula for g in terms of f.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
19
The graph of a function f has been stretched vertically by a factor of 9, compressed horizontally by a factor of 6, and then shifted up 3 units and shifted 4 units to the left. The new graph is produced by a function g. Find a formula for g in terms of f.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
20
The point (2,4) lies on the graph of the function f. Suppose the graph of f is reflected across the y-axis, shifted upward 7 units, stretched vertically by a factor of 2, compressed horizontally by a factor of 16, and then shifted 6 units to the right. What point must lie on the transformed graph?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
21
Let 4 and -4 be the zeros of the quadratic function What are the zeros of the function
?
A) 4
B) -4
C) 2
D) -2
E) 8
F)-8
What are the zeros of the function?A) 4
B) -4
C) 2
D) -2
E) 8
F)-8
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
22
Let be defined by the following graph, and let and .
Arrange the following values in order from least to greatest by placing a "1" next to the least, a "2" next to the next least, etc.
A.
B.
C.
be defined by the following graph, and let and . Arrange the following values in order from least to greatest by placing a "1" next to the least, a "2" next to the next least, etc.A.
B.
C.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
23
Use the table below to answer the following questions.
If , compute
A)
B)
C)
If , computeA)
B)
C)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
24
Sketch the graph of
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
25
The graph of contains the point (2, 3). What is the corresponding point on the graph of ?
contains the point (2, 3). What is the corresponding point on the graph of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
26
Given , the following figure shows the graphs of , , and . Which curve is the graph of ?
, the following figure shows the graphs of , , and . Which curve is the graph of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
27
Using the following table, find for x = -0.5.
for x = -0.5. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
28
Let be the height of a box in inches. Find a formula for the height
in feet?
be the height of a box in inches. Find a formula for the height in feet?
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
29
The graphs of f
and are shown at the right. .
Which of the following gives a formula for in terms of ?
A)
B)
C)
D)
and
are shown at the right. . Which of the following gives a formula for
in terms of ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
30
Suppose is an even function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine.
is an even function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
31
Suppose is an odd function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine.
is an odd function. Determine whether is odd, even, or neither. Write "cannot tell" if there is not enough information to determine. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
32
Let represent the volume of a box with square base of side length and height 6. By what percent does the volume increase if the side length is increased by 20%?
represent the volume of a box with square base of side length and height 6. By what percent does the volume increase if the side length is increased by 20%? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
33
Let represent the volume in cubic feet of a box with square base of side length Feet and height 8 feet. Let represent the volume in cubic inches of a box with square base of side length inches and height 96 inches. Which of the following is the correct formula for In terms of
?
A)
B)
C)
D)
represent the volume in cubic feet of a box with square base of side length Feet and height 8 feet. Let represent the volume in cubic inches of a box with square base of side length inches and height 96 inches. Which of the following is the correct formula for In terms of?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
34
The domain of is and the range is . What is the domain and range of ?
is and the range is . What is the domain and range of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
35
Describe the effect of the transformation on the graph of
on the graph of فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
36
Let be the value of an investment months after the account was open. Write an expression that represents the value of the investment increased by 15%.
be the value of an investment months after the account was open. Write an expression that represents the value of the investment increased by 15%. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
37
Which of the following describes the effect of the transformation On the graph of the function ?
A) The graph is stretched vertically by a factor of 6 and stretched horizontally by a factor of 6.
B) The graph is stretched vertically by a factor of 6 and shrunk horizontally by a factor of 1/8.
C) The graph is shrunk vertically by a factor of 1/8 and stretched horizontally by a factor of 6.
D) The graph is shrunk vertically by a factor of 1/8 and shrunk horizontally by a factor of 1/8 .
On the graph of the function ?A) The graph is stretched vertically by a factor of 6 and stretched horizontally by a factor of 6.
B) The graph is stretched vertically by a factor of 6 and shrunk horizontally by a factor of 1/8.
C) The graph is shrunk vertically by a factor of 1/8 and stretched horizontally by a factor of 6.
D) The graph is shrunk vertically by a factor of 1/8 and shrunk horizontally by a factor of 1/8 .
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
38
Which of the following describes the effect of the transformation On the graph of the function ?
A) The graph is stretched vertically by a factor of 4 and stretched horizontally by a factor of 4.
B) The graph is stretched vertically by a factor of 4 and compressed horizontally by a factor of 1/5 .
C) The graph is compressed vertically by a factor of 1/5 and stretched horizontally by a factor of 4.
D) The graph is compressed vertically by a factor of 1/5 and compressed horizontally by a factor of 1/5 .
On the graph of the function ?A) The graph is stretched vertically by a factor of 4 and stretched horizontally by a factor of 4.
B) The graph is stretched vertically by a factor of 4 and compressed horizontally by a factor of 1/5 .
C) The graph is compressed vertically by a factor of 1/5 and stretched horizontally by a factor of 4.
D) The graph is compressed vertically by a factor of 1/5 and compressed horizontally by a factor of 1/5 .
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
39
The point lies on the graph of . What point must lie on the graph of ?
lies on the graph of . What point must lie on the graph of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
40
The point lies on the graph of . If the graph of 11ee8201_b9fd_2ffc_8e66_930a3c09055a_TB10073_11 is compressed vertically by a factor of and stretched horizontally by a factor of 9, what point must lie on the transformed graph?
lies on the graph of . If the graph of 11ee8201_b9fd_2ffc_8e66_930a3c09055a_TB10073_11 is compressed vertically by a factor of and stretched horizontally by a factor of 9, what point must lie on the transformed graph? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
41
The point lies on the graph of . If the graph of f is stretched vertically by a factor of 9 and compressed horizontally by a factor of , what point must lie on the transformed graph?
lies on the graph of . If the graph of f is stretched vertically by a factor of 9 and compressed horizontally by a factor of , what point must lie on the transformed graph? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
42
The point lies on the graph of . If the graph of f is compressed vertically by a factor of 5 and compressed horizontally by a factor of , what point must lie on the transformed graph?
lies on the graph of . If the graph of f is compressed vertically by a factor of 5 and compressed horizontally by a factor of , what point must lie on the transformed graph? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
43
The following figure shows the graph of And the graphs of several multiples of .
Which of the following statements are true?
A) c < 0
B) c < d
C) d < 0
And the graphs of several multiples of . Which of the following statements are true?A) c < 0
B) c < d
C) d < 0
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
44
Below is a graph of the function . If you were to sketch a graph of , what point would the point (0.6, -0.4) correspond to?
. If you were to sketch a graph of , what point would the point (0.6, -0.4) correspond to? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
45
The following table gives values for , the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas.
Estimate the cost of drilling a well that is 40 feet deep.
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. Estimate the cost of drilling a well that is 40 feet deep. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
46
The following table gives values for , the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. The ranch sits above a dense layer of bedrock. At what depth do you estimate that the bedrock layer begins?
A) Between 40 and 60 feet.
B) Between 100 and 120 feet.
C) Between 60 and 80 feet.
D) Between 80 and 100 feet.
, the cost per foot of drilling a well at a depth of x feet. The prices given are for wells drilled on a certain ranch in Texas. The ranch sits above a dense layer of bedrock. At what depth do you estimate that the bedrock layer begins?A) Between 40 and 60 feet.
B) Between 100 and 120 feet.
C) Between 60 and 80 feet.
D) Between 80 and 100 feet.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
47
Let . Write a formula for the following transformations of f.
A)
B)
C)
. Write a formula for the following transformations of f.A)
B)
C)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
48
The graph of is given below. Sketch a graph of
is given below. Sketch a graph of فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
49
A bowling alley charges $3.10 for shoes plus $2.00 per game bowled. Let Be the total cost for bowling g games (including shoe rental). Now suppose the bowling alley decides to increase the cost for shoes by $1.10 and include the first game for free. What is the formula for the new total cost,
, of bowling g games as a transformation of ?
A)
B)
C)
D)
Be the total cost for bowling g games (including shoe rental). Now suppose the bowling alley decides to increase the cost for shoes by $1.10 and include the first game for free. What is the formula for the new total cost,, of bowling g games as a transformation of ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
50
The amount of money in your bank account is given by
. Which of the following formulas matches the description "$110 more than I have in my bank account"?
A)
B)
C)
D)
. Which of the following formulas matches the description "$110 more than I have in my bank account"?
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
51
The amount of money in your bank account is given by
. Which of the following formulas matches the description "the amount of money I will have in my bank account 30 years from now"?
A)
B)
C)
D)
. Which of the following formulas matches the description "the amount of money I will have in my bank account 30 years from now"?
A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
52
The domain of is and the range is . What is the domain and range of ?
is and the range is . What is the domain and range of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
53
The graph of is the graph of after it has been vertically stretched or shrunk. The point (5, 12) lies on the graph of . The corresponding point on the graph of
is . What is a possible formula for in terms of ?
is the graph of after it has been vertically stretched or shrunk. The point (5, 12) lies on the graph of . The corresponding point on the graph of is . What is a possible formula for in terms of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
54
The graphs of and are shown below.
.Which of the following gives a formula for in terms of ?
A)
B)
C)
D)
and are shown below. .Which of the following gives a formula for
in terms of ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
55
The graph of contains the point (3,-2). What corresponding point must be on the graph of ?
contains the point (3,-2). What corresponding point must be on the graph of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
56
The graph of Contains the point (4,-5). Which of the following points must be on the graph of ?
A)
B)
C)
D)
Contains the point (4,-5). Which of the following points must be on the graph of ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
57
The function is obtained from by a single transformation. Use the tables below to find a formula for in terms of .
is obtained from by a single transformation. Use the tables below to find a formula for in terms of . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
58
If is an odd function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine.
is an odd function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
59
If is an even function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine.
is an even function, determine whether is odd, even, or neither. State "cannot tell" if there is not enough information to determine. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
60
The domain of is and the range is . If , what is the domain and range of ?
is and the range is . If , what is the domain and range of ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
61
Suppose the range of is . Let . There exists some such that .
is . Let . There exists some such that . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
62
Graph if .
if . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
63
Graph if .
if . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
64
The average rate of change of over is -4. Find the average rate of change of over .
over is -4. Find the average rate of change of over . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
65
If the graph of the line is reflected about the x-axis, the resulting line has the equation y = _____ x + _____.
is reflected about the x-axis, the resulting line has the equation y = _____ x + _____. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
66
An even function is decreasing and concave down in the first quadrant. How does the function behave in the second quadrant?
A) It is decreasing and concave down
B) It is increasing and concave up
C) It is increasing and concave down
D) It is decreasing and concave up
A) It is decreasing and concave down
B) It is increasing and concave up
C) It is increasing and concave down
D) It is decreasing and concave up
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
67
The function has odd symmetry and the function has even symmetry. Is the function odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
68
The function has odd symmetry and the function has even symmetry. Is the function odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
69
The function has odd symmetry and the function has even symmetry. Is the function odd, even, or neither?
has odd symmetry and the function has even symmetry. Is the function odd, even, or neither? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
70
Some of the values of are given in the following table. If is an even function, what is ?
are given in the following table. If is an even function, what is ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
71
The following table gives values for the functions f and g.
Which of the following statements are true?
A) f is symmetric about the x-axis.
B) g is symmetric about the x-axis.
C) f is symmetric about the y-axis.
D) g is symmetric about the y-axis.
E) f is symmetric about the origin.
F)g is symmetric about the origin.
Which of the following statements are true?A) f is symmetric about the x-axis.
B) g is symmetric about the x-axis.
C) f is symmetric about the y-axis.
D) g is symmetric about the y-axis.
E) f is symmetric about the origin.
F)g is symmetric about the origin.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
72
The following table gives some values for the function . If has even symmetry, what is ?
. If has even symmetry, what is ? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
73
The graph of contains the point (2, -3). What point must lie on the reflected graph if the graph is reflected about the x-axis?
contains the point (2, -3). What point must lie on the reflected graph if the graph is reflected about the x-axis? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
74
The graph of contains the point (2, -1). What is the corresponding point on the graph if is an odd function?
contains the point (2, -1). What is the corresponding point on the graph if is an odd function? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
75
Given the following table of values for , find when x = 2. If you do not have sufficient information, enter "cannot determine".
, find when x = 2. If you do not have sufficient information, enter "cannot determine". فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
76
How are the graphs of And related?
A)
B)
C)
D)
E) None of the above.
And related?A)
B)
C)
D)
E) None of the above.
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
77
What is the formula for if ?
A)
B)
C)
D)
if ?A)
B)
C)
D)
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
78
Is the function odd, even, or neither?
odd, even, or neither? فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
79
If the following is the graph of .
Sketch the graph of .
. Sketch the graph of
. فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
80
The following is the graph of . Sketch the graph of .
. Sketch the graph of . فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
فتح الحزمة
k this deck
فتح الحزمة
افتح القفل للوصول البطاقات البالغ عددها 106 في هذه المجموعة.
