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Deck 6: Factoring and Quadratic Equations
Full screen (f)
Question
For values of 
the function 
grows faster than the function 
.
the function grows faster than the function .
Question
Use the graph below to find 
. 
A) -2
B) 73
C) -0.6
D) -3212
E) -44
. A) -2
B) 73
C) -0.6
D) -3212
E) -44
Question
If 
and 
find 
.
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
Question
If 
and 
find 
.
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
Question
If 
and 
find the domain of 
.
A)
B)
C)
D)
E)
and find the domain of .A)
B)
C)
D)
E)
Question
If 
and 
find 
.
A) Undefined
B)
C)
D)
E)
and find .A) Undefined
B)
C)
D)
E)
Question
If 
and 
find the domain of 
.
A)
B)
C)
D)
E)
and find the domain of .A)
B)
C)
D)
E)
Question
If the rational function 
has the vertical asymptote 
then as 
also.
has the vertical asymptote then as also. Question
If 
and 
find 
.
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
Question
Use the graph below to find an approximation of 
. 
A) -8
B) 63
C) -2
D) 71
E) 79
. A) -8
B) 63
C) -2
D) 71
E) 79
Question
Use the table below to find 
A) -16
B) 24
C) 10
D) -6
E) -2
A) -16
B) 24
C) 10
D) -6
E) -2
Question
Use the table below to find 
A) -117
B) 54
C) 162
D) -3
E) 15
A) -117
B) 54
C) 162
D) -3
E) 15
Question
The function 
exhibits the following end behavior: 
and 
.
exhibits the following end behavior: and . Question
If 
and 
find 
.
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
Question
Use the graph below to find 
. 
A) 232
B) 316.0
C) 84
D) 2
E) 2.8
. A) 232
B) 316.0
C) 84
D) 2
E) 2.8
Question
The graph of 
is similar to the graph of 
.
is similar to the graph of . Question
Use the table below to find 
A) -27
B) -1
C) -36
D) -12
E) 12
A) -27
B) -1
C) -36
D) -12
E) 12
Question
Use the table below to find 
A) -39
B)
C)
D) -380
E)
A) -39
B)
C)
D) -380
E)
Question
If 
and 
find the domain of 
.
A)
B) 0
C)
D)
E)
and find the domain of .A)
B) 0
C)
D)
E)
Question
Use the graph below to find 
. 
A) -42
B) 83
C) -2
D) 41
E) -1
. A) -42
B) 83
C) -2
D) 41
E) -1
Question
Which one of the following graphs represents the function 
?
A)
B)
C)
D)
E) None of these options
?A)
B)
C)
D)
E) None of these options
Question
Suppose that 
is directly proportional to the 5th root of 
. If 
when 
find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is directly proportional to the 5th root of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
Question
Let 
and 
. Find 
.
A)
B) 4
C)
D) 12
E) -8
and . Find .A)
B) 4
C)
D) 12
E) -8
Question
Suppose that 
is directly proportional to the 5th power of 
. Which one of the following equations expresses this proportionality? .
A)
B)
C)
D)
E)
is directly proportional to the 5th power of . Which one of the following equations expresses this proportionality? .A)
B)
C)
D)
E)
Question
Which one of the following graphs represents the function 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
The stopping distance 
of a car after the brakes have been applied is directly proportional to the square of the speed 
. The stopping distance of a car on dry asphalt is given by the function 
where 
is measured in mi/h. Which one of the following is the inverse function of 
?
A)
B)
C)
D)
E)
of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function where is measured in mi/h. Which one of the following is the inverse function of ?A)
B)
C)
D)
E)
Question
The mouse population in a small desert area is modeled by the function 
where 
is measured in days. When is the maximum population attained and what is the maximum population?
A) After 175 days the mouse population is 0.
B) After 9 days the mouse population is 1310.
C) After 84 days the mouse population is 1310.
D) After 84 days the mouse population is 7005.
E) After 9 days the mouse population is 2485.
where is measured in days. When is the maximum population attained and what is the maximum population?A) After 175 days the mouse population is 0.
B) After 9 days the mouse population is 1310.
C) After 84 days the mouse population is 1310.
D) After 84 days the mouse population is 7005.
E) After 9 days the mouse population is 2485.
Question
The area of a circle with radius 
is given by the power function 
. What happens to the area of the circle when the radius is multiplied by 3?
A) The area increases by a factor of 9.
B) The area is also multiplied by 3.
C) The area increases by
.
D) Not enough information.
E) The area increases by
.
is given by the power function . What happens to the area of the circle when the radius is multiplied by 3?A) The area increases by a factor of 9.
B) The area is also multiplied by 3.
C) The area increases by
.D) Not enough information.
E) The area increases by
. Question
Which one of the following is a graph of the function 
?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
Question
Which one of the following graphs represents the function 
?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
Question
Determine the end behavior of the function 
.
A) As
and as 
.
B) As
and as 
.
C) As
and as 
.
D) As
and as 
.
E) As
and as 
.
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Question
Which one of the following is the graph of 
.
A)
B) None of these options
C)
D)
E)
.A)
B) None of these options
C)
D)
E)
Question
Express the polynomial function 
in complete factored form.
A)
B)
C)
D)
E)
in complete factored form.A)
B)
C)
D)
E)
Question
Which one of the following is the graph of 
?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
Question
The graphs of 
and 
are given below. Which one of the following is the graph of 
? 
A)
B)
C)
D)
E)
and are given below. Which one of the following is the graph of ? A)
B)
C)
D)
E)
Question
Suppose that 
is directly proportional to the 4th power of 
. If it is known that 
when 
find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is directly proportional to the 4th power of . If it is known that when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
Question
Let 
and 
. Find 
.
A)
B) -4
C) -14
D) 30
E) -176
and . Find .A)
B) -4
C) -14
D) 30
E) -176
Question
Suppose that 
is directly proportional to the 6th root of 
. Which one of the following equations expresses this proportionality?
A)
B)
C)
D)
E)
is directly proportional to the 6th root of . Which one of the following equations expresses this proportionality?A)
B)
C)
D)
E)
Question
The power 
of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity 
. If the velocity is divided by 4 by what factor will the power decrease?
A)
B)
C) 64
D)
E) 4
of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity . If the velocity is divided by 4 by what factor will the power decrease?A)
B)
C) 64
D)
E) 4
Question
Let 
and 
. Find 
.
A) -4
B) -14
C)
D) -1
E) 45
and . Find .A) -4
B) -14
C)
D) -1
E) 45
Question
Which one of the following is the equation of the horizontal asymptote for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Which one of the following functions best models the data given in the table below. 
A) Exponential
B) Power
C) Quadratic
D) Linear
E) None of these options
A) Exponential
B) Power
C) Quadratic
D) Linear
E) None of these options
Question
Determine the behavior of the function 
as 
.
A) As
.
B) As
.
C) As
.
D) As
.
E) As
.
as .A) As
.B) As
.C) As
.D) As
.E) As
. Question
Suppose that 
is inversely proportional to the square of 
. Which one of the following is an equation that expresses this statement?
A)
B)
C)
D)
E)
is inversely proportional to the square of . Which one of the following is an equation that expresses this statement?A)
B)
C)
D)
E)
Question
Suppose that 
is inversely proportional to the cube root of 
. Which one of the following is an equation that expresses this statement?
A)
B)
C)
D)
E)
is inversely proportional to the cube root of . Which one of the following is an equation that expresses this statement?A)
B)
C)
D)
E)
Question
Which one of the following is the graph of 
?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
Question
The mouse population in a small desert area is modeled by the function 
where 
is measured in days. When will the mouse population disappear?
A) After 3 days
B) After 58 days
C) After 411 days
D) After 1320 days
E) After 11 days
where is measured in days. When will the mouse population disappear?A) After 3 days
B) After 58 days
C) After 411 days
D) After 1320 days
E) After 11 days
Question
Which one of the following is the graph of 
.
A)
B)
C) None of these options
D)
E)
.A)
B)
C) None of these options
D)
E)
Question
Determine the end behavior of the function 
.
A) As
and as 
.
B) As
and as 
.
C) As
and as 
.
D) As
and as 
.
E) As
and as 
.
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Question
Which one of the following is the equation of the vertical asymptote for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
Question
Suppose that 
is inversely proportional to the cube root of 
. If 
when 
find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is inversely proportional to the cube root of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
Question
A cardboard box has a square base with each edge of the base having length 
inches as shown in the figure. The volume of the box is determined by the function 
. What is the domain of 
in the context of this problem? 
A)
B)
C)
D)
E)
inches as shown in the figure. The volume of the box is determined by the function . What is the domain of in the context of this problem? A)
B)
C)
D)
E)
Question
Find an appropriate model for the data provided in the table. Round to the nearest thousandth. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The loudness 
of a sound (measured in decibels dB) is inversely proportional to the square of the distance 
from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.
A)
B)
C)
D)
E)
of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.A)
B)
C)
D)
E)
Question
Suppose that 
is inversely proportional to the square of 
. If 
when 
find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is inversely proportional to the square of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
Question
Determine the end behavior of the function 
as 
.
A) As
.
B) As
.
C) As
.
D) As
.
E) As
.
as .A) As
.B) As
.C) As
.D) As
.E) As
. Question
The data in the table shows the temperature for a cup of coffee after it is poured into the cup. The initial temperature of the coffee is F. Which one of the following functions is the best model for this data? 
A)
B)
C) None of these options
D)
E)
A)
B)
C) None of these options
D)
E)
Question
Determine the end behavior of the function 
.
A) As
and 
.
B) As
and 
.
C) As
and 
.
D) As
and 
.
E) As
and 
.
.A) As
and .B) As
and .C) As
and .D) As
and .E) As
and . Question
The loudness 
of a sound (measured in decibels dB) is inversely proportional to the square of the distance 
from the source of the sound. Suppose a person who is 4 ft from a hair dryer experiences a sound level of 60 dB. How loud is the hair dryer for a person 7 ft away? Round to the nearest tenth.
A) 0.1 dB
B) 19.6 dB
C) 1.2 dB
D) 70.0 dB
E) 960.0 dB
of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 4 ft from a hair dryer experiences a sound level of 60 dB. How loud is the hair dryer for a person 7 ft away? Round to the nearest tenth.A) 0.1 dB
B) 19.6 dB
C) 1.2 dB
D) 70.0 dB
E) 960.0 dB
Question
Determine the end behavior of the function 
.
A) As
and 
.
B) As
and 
.
C) As
and 
.
D) As
and 
.
E) As
and 
.
.A) As
and .B) As
and .C) As
and .D) As
and .E) As
and . Question
Determine the end behavior of 
.
A) As
and as 
.
B) As
and as 
.
C) As
and as 
.
D) As
and as 
.
E) As
and as 
.
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
Find the x -intercept(s) of 
.
A) (
0)
B) (
0)
C)
D) (
0)
E) (
0)
.A) (
0)B) (
0)C)
D) (
0)E) (
0) Question
Find the equation of the horizontal asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
The graph of a rational function is given. Determine the equation(s) of the vertical asymptote(s). 
A)
and 
B)
C)
D)
and 
E) There are no vertical asymptotes.
A)
and B)
C)
D)
and E) There are no vertical asymptotes.
Question
Determine the behavior of 
as 
.
A) As
.
B) As
.
C) As
.
D) As
.
E) As
.
as .A) As
.B) As
.C) As
.D) As
.E) As
. Question
Question
Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
Find the equation of the horizontal asymptote of 
.
A)
B)
3
C)
D)
E)
.A)
B)
3C)
D)
E)
Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
Find the y -intercept of 
.
A) (0
)
B)
C) (0
)
D) (0
)
E) (0
)
.A) (0
)B)
C) (0
)D) (0
)E) (0
) Question
Question
Find the equation of the vertical asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
Find the equation(s) of the vertical asymptote(s) of 
.
A)
B)
and 
C)
D)
and 
E)
and 
.A)
B)
and C)
D)
and E)
and Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
For the polynomial expression factor out the GCF. 
A)
B)
C)
A)
B)
C)
Question
Suppose a rocket is fired upward from the surface of the earth with an initial velocity 
(measured in m/s). Then the maximum height 
(in meters) reached by the rocket is given by the function 
where the radius of the earth 
is 
meters and the acceleration due to gravity 
is 9.8 
. If the initial velocity of the rocket is 9100 m/s what is the maximum height reached by the rocket?
A)
meters
B) 5.26e+14 meters
C) -7.86e+07 meters
D) 1.26e+07 meters
E) 6.35 meters
(measured in m/s). Then the maximum height (in meters) reached by the rocket is given by the function where the radius of the earth is meters and the acceleration due to gravity is 9.8 . If the initial velocity of the rocket is 9100 m/s what is the maximum height reached by the rocket?A)
metersB) 5.26e+14 meters
C) -7.86e+07 meters
D) 1.26e+07 meters
E) 6.35 meters
Question
The function 
is graphed below. Determine the x - and y -intercepts. 
A) The x -intercept is
; the y -intercept is 
.
B) There are no x -intercepts; the y -intercept is (0
).
C) There are no x -intercepts; there is no y -intercept.
D) The x -intercept is (0
); there is no y -intercept.
E) The x -intercepts are (0
) and (0 
); the y -intercept is (0 
).
is graphed below. Determine the x - and y -intercepts. A) The x -intercept is
; the y -intercept is .B) There are no x -intercepts; the y -intercept is (0
).C) There are no x -intercepts; there is no y -intercept.
D) The x -intercept is (0
); there is no y -intercept.E) The x -intercepts are (0
) and (0 ); the y -intercept is (0 ).
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Deck 6: Factoring and Quadratic Equations
1
For values of the function grows faster than the function .
the function grows faster than the function .False
2
Use the graph below to find .
A) -2
B) 73
C) -0.6
D) -3212
E) -44
. A) -2
B) 73
C) -0.6
D) -3212
E) -44
-3212
3
If and find .
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
4
If and find .
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
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5
If and find the domain of .
A)
B)
C)
D)
E)
and find the domain of .A)
B)
C)
D)
E)
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6
If and find .
A) Undefined
B)
C)
D)
E)
and find .A) Undefined
B)
C)
D)
E)
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7
If and find the domain of .
A)
B)
C)
D)
E)
and find the domain of .A)
B)
C)
D)
E)
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8
If the rational function has the vertical asymptote then as also.
has the vertical asymptote then as also. Unlock Deck
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9
If and find .
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
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10
Use the graph below to find an approximation of .
A) -8
B) 63
C) -2
D) 71
E) 79
. A) -8
B) 63
C) -2
D) 71
E) 79
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11
Use the table below to find
A) -16
B) 24
C) 10
D) -6
E) -2
A) -16
B) 24
C) 10
D) -6
E) -2
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12
Use the table below to find
A) -117
B) 54
C) 162
D) -3
E) 15
A) -117
B) 54
C) 162
D) -3
E) 15
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13
The function exhibits the following end behavior: and .
exhibits the following end behavior: and . Unlock Deck
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14
If and find .
A)
B)
C)
D)
E)
and find .A)
B)
C)
D)
E)
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15
Use the graph below to find .
A) 232
B) 316.0
C) 84
D) 2
E) 2.8
. A) 232
B) 316.0
C) 84
D) 2
E) 2.8
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16
The graph of is similar to the graph of .
is similar to the graph of . Unlock Deck
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17
Use the table below to find
A) -27
B) -1
C) -36
D) -12
E) 12
A) -27
B) -1
C) -36
D) -12
E) 12
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18
Use the table below to find
A) -39
B)
C)
D) -380
E)
A) -39
B)
C)
D) -380
E)
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19
If and find the domain of .
A)
B) 0
C)
D)
E)
and find the domain of .A)
B) 0
C)
D)
E)
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20
Use the graph below to find .
A) -42
B) 83
C) -2
D) 41
E) -1
. A) -42
B) 83
C) -2
D) 41
E) -1
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21
Which one of the following graphs represents the function ?
A)
B)
C)
D)
E) None of these options
?A)
B)
C)
D)
E) None of these options
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22
Suppose that is directly proportional to the 5th root of . If when find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is directly proportional to the 5th root of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
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23
Let and . Find .
A)
B) 4
C)
D) 12
E) -8
and . Find .A)
B) 4
C)
D) 12
E) -8
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24
Suppose that is directly proportional to the 5th power of . Which one of the following equations expresses this proportionality? .
A)
B)
C)
D)
E)
is directly proportional to the 5th power of . Which one of the following equations expresses this proportionality? .A)
B)
C)
D)
E)
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25
Which one of the following graphs represents the function ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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26
The stopping distance of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function where is measured in mi/h. Which one of the following is the inverse function of ?
A)
B)
C)
D)
E)
of a car after the brakes have been applied is directly proportional to the square of the speed . The stopping distance of a car on dry asphalt is given by the function where is measured in mi/h. Which one of the following is the inverse function of ?A)
B)
C)
D)
E)
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27
The mouse population in a small desert area is modeled by the function where is measured in days. When is the maximum population attained and what is the maximum population?
A) After 175 days the mouse population is 0.
B) After 9 days the mouse population is 1310.
C) After 84 days the mouse population is 1310.
D) After 84 days the mouse population is 7005.
E) After 9 days the mouse population is 2485.
where is measured in days. When is the maximum population attained and what is the maximum population?A) After 175 days the mouse population is 0.
B) After 9 days the mouse population is 1310.
C) After 84 days the mouse population is 1310.
D) After 84 days the mouse population is 7005.
E) After 9 days the mouse population is 2485.
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28
The area of a circle with radius is given by the power function . What happens to the area of the circle when the radius is multiplied by 3?
A) The area increases by a factor of 9.
B) The area is also multiplied by 3.
C) The area increases by .
D) Not enough information.
E) The area increases by .
is given by the power function . What happens to the area of the circle when the radius is multiplied by 3?A) The area increases by a factor of 9.
B) The area is also multiplied by 3.
C) The area increases by
.D) Not enough information.
E) The area increases by
. Unlock Deck
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29
Which one of the following is a graph of the function ?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
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30
Which one of the following graphs represents the function ?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
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31
Determine the end behavior of the function .
A) As and as .
B) As and as .
C) As and as .
D) As and as .
E) As and as .
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Unlock Deck
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32
Which one of the following is the graph of .
A)
B) None of these options
C)
D)
E)
.A)
B) None of these options
C)
D)
E)
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33
Express the polynomial function in complete factored form.
A)
B)
C)
D)
E)
in complete factored form.A)
B)
C)
D)
E)
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k this deck
34
Which one of the following is the graph of ?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
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k this deck
35
The graphs of and are given below. Which one of the following is the graph of ?
A)
B)
C)
D)
E)
and are given below. Which one of the following is the graph of ? A)
B)
C)
D)
E)
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36
Suppose that is directly proportional to the 4th power of . If it is known that when find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is directly proportional to the 4th power of . If it is known that when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
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37
Let and . Find .
A)
B) -4
C) -14
D) 30
E) -176
and . Find .A)
B) -4
C) -14
D) 30
E) -176
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38
Suppose that is directly proportional to the 6th root of . Which one of the following equations expresses this proportionality?
A)
B)
C)
D)
E)
is directly proportional to the 6th root of . Which one of the following equations expresses this proportionality?A)
B)
C)
D)
E)
Unlock Deck
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k this deck
39
The power of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity . If the velocity is divided by 4 by what factor will the power decrease?
A)
B)
C) 64
D)
E) 4
of a jet of water from a fire hose that is 3 inches in diameter is directly proportional to the cube of the water velocity . If the velocity is divided by 4 by what factor will the power decrease?A)
B)
C) 64
D)
E) 4
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40
Let and . Find .
A) -4
B) -14
C)
D) -1
E) 45
and . Find .A) -4
B) -14
C)
D) -1
E) 45
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41
Which one of the following is the equation of the horizontal asymptote for ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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42
Which one of the following functions best models the data given in the table below.
A) Exponential
B) Power
C) Quadratic
D) Linear
E) None of these options
A) Exponential
B) Power
C) Quadratic
D) Linear
E) None of these options
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k this deck
43
Determine the behavior of the function as .
A) As .
B) As .
C) As .
D) As .
E) As .
as .A) As
.B) As
.C) As
.D) As
.E) As
. Unlock Deck
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44
Suppose that is inversely proportional to the square of . Which one of the following is an equation that expresses this statement?
A)
B)
C)
D)
E)
is inversely proportional to the square of . Which one of the following is an equation that expresses this statement?A)
B)
C)
D)
E)
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k this deck
45
Suppose that is inversely proportional to the cube root of . Which one of the following is an equation that expresses this statement?
A)
B)
C)
D)
E)
is inversely proportional to the cube root of . Which one of the following is an equation that expresses this statement?A)
B)
C)
D)
E)
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k this deck
46
Which one of the following is the graph of ?
A)
B)
C) None of these options
D)
E)
?A)
B)
C) None of these options
D)
E)
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k this deck
47
The mouse population in a small desert area is modeled by the function where is measured in days. When will the mouse population disappear?
A) After 3 days
B) After 58 days
C) After 411 days
D) After 1320 days
E) After 11 days
where is measured in days. When will the mouse population disappear?A) After 3 days
B) After 58 days
C) After 411 days
D) After 1320 days
E) After 11 days
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48
Which one of the following is the graph of .
A)
B)
C) None of these options
D)
E)
.A)
B)
C) None of these options
D)
E)
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k this deck
49
Determine the end behavior of the function .
A) As and as .
B) As and as .
C) As and as .
D) As and as .
E) As and as .
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Unlock Deck
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k this deck
50
Which one of the following is the equation of the vertical asymptote for ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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k this deck
51
Suppose that is inversely proportional to the cube root of . If when find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is inversely proportional to the cube root of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
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k this deck
52
A cardboard box has a square base with each edge of the base having length inches as shown in the figure. The volume of the box is determined by the function . What is the domain of in the context of this problem?
A)
B)
C)
D)
E)
inches as shown in the figure. The volume of the box is determined by the function . What is the domain of in the context of this problem? A)
B)
C)
D)
E)
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k this deck
53
Find an appropriate model for the data provided in the table. Round to the nearest thousandth.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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54
The loudness of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.
A)
B)
C)
D)
E)
of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 3 ft from a hair dryer experiences a sound level of 75 dB. Find the proportionality constant and write the equation that expresses the inverse proportionality.A)
B)
C)
D)
E)
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k this deck
55
Suppose that is inversely proportional to the square of . If when find the proportionality constant. Round to the nearest hundredth.
A)
B)
C)
D)
E)
is inversely proportional to the square of . If when find the proportionality constant. Round to the nearest hundredth.A)
B)
C)
D)
E)
Unlock Deck
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k this deck
56
Determine the end behavior of the function as .
A) As .
B) As .
C) As .
D) As .
E) As .
as .A) As
.B) As
.C) As
.D) As
.E) As
. Unlock Deck
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57
The data in the table shows the temperature for a cup of coffee after it is poured into the cup. The initial temperature of the coffee is F. Which one of the following functions is the best model for this data?
A)
B)
C) None of these options
D)
E)
A)
B)
C) None of these options
D)
E)
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58
Determine the end behavior of the function .
A) As and .
B) As and .
C) As and .
D) As and .
E) As and .
.A) As
and .B) As
and .C) As
and .D) As
and .E) As
and . Unlock Deck
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59
The loudness of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 4 ft from a hair dryer experiences a sound level of 60 dB. How loud is the hair dryer for a person 7 ft away? Round to the nearest tenth.
A) 0.1 dB
B) 19.6 dB
C) 1.2 dB
D) 70.0 dB
E) 960.0 dB
of a sound (measured in decibels dB) is inversely proportional to the square of the distance from the source of the sound. Suppose a person who is 4 ft from a hair dryer experiences a sound level of 60 dB. How loud is the hair dryer for a person 7 ft away? Round to the nearest tenth.A) 0.1 dB
B) 19.6 dB
C) 1.2 dB
D) 70.0 dB
E) 960.0 dB
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60
Determine the end behavior of the function .
A) As and .
B) As and .
C) As and .
D) As and .
E) As and .
.A) As
and .B) As
and .C) As
and .D) As
and .E) As
and . Unlock Deck
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61
Determine the end behavior of .
A) As and as .
B) As and as .
C) As and as .
D) As and as .
E) As and as .
.A) As
and as .B) As
and as .C) As
and as .D) As
and as .E) As
and as . Unlock Deck
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62
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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63
Find the x -intercept(s) of .
A) ( 0)
B) ( 0)
C)
D) ( 0)
E) ( 0)
.A) (
0)B) (
0)C)
D) (
0)E) (
0) Unlock Deck
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64
Find the equation of the horizontal asymptote for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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65
The graph of a rational function is given. Determine the equation(s) of the vertical asymptote(s).
A) and
B)
C)
D) and
E) There are no vertical asymptotes.
A)
and B)
C)
D)
and E) There are no vertical asymptotes.
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66
Determine the behavior of as .
A) As .
B) As .
C) As .
D) As .
E) As .
as .A) As
.B) As
.C) As
.D) As
.E) As
. Unlock Deck
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67
A polynomial that is completely factored is expressed as a product instead of a sum or difference.
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68
The greatest common factor (GCF) of a polynomial is always a number.
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69
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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70
Find the equation of the horizontal asymptote of .
A)
B) 3
C)
D)
E)
.A)
B)
3C)
D)
E)
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71
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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72
Find the y -intercept of .
A) (0 )
B)
C) (0 )
D) (0 )
E) (0 )
.A) (0
)B)
C) (0
)D) (0
)E) (0
) Unlock Deck
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73
To check your result of factoring multiply out the expression. It should be equivalent to the original expression.
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74
Find the equation of the vertical asymptote for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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75
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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76
Find the equation(s) of the vertical asymptote(s) of .
A)
B) and
C)
D) and
E) and
.A)
B)
and C)
D)
and E)
and Unlock Deck
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77
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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78
For the polynomial expression factor out the GCF.
A)
B)
C)
A)
B)
C)
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79
Suppose a rocket is fired upward from the surface of the earth with an initial velocity (measured in m/s). Then the maximum height (in meters) reached by the rocket is given by the function where the radius of the earth is meters and the acceleration due to gravity is 9.8 . If the initial velocity of the rocket is 9100 m/s what is the maximum height reached by the rocket?
A) meters
B) 5.26e+14 meters
C) -7.86e+07 meters
D) 1.26e+07 meters
E) 6.35 meters
(measured in m/s). Then the maximum height (in meters) reached by the rocket is given by the function where the radius of the earth is meters and the acceleration due to gravity is 9.8 . If the initial velocity of the rocket is 9100 m/s what is the maximum height reached by the rocket?A)
metersB) 5.26e+14 meters
C) -7.86e+07 meters
D) 1.26e+07 meters
E) 6.35 meters
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80
The function is graphed below. Determine the x - and y -intercepts.
A) The x -intercept is ; the y -intercept is .
B) There are no x -intercepts; the y -intercept is (0 ).
C) There are no x -intercepts; there is no y -intercept.
D) The x -intercept is (0 ); there is no y -intercept.
E) The x -intercepts are (0 ) and (0 ); the y -intercept is (0 ).
is graphed below. Determine the x - and y -intercepts. A) The x -intercept is
; the y -intercept is .B) There are no x -intercepts; the y -intercept is (0
).C) There are no x -intercepts; there is no y -intercept.
D) The x -intercept is (0
); there is no y -intercept.E) The x -intercepts are (0
) and (0 ); the y -intercept is (0 ). Unlock Deck
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Unlock Deck
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