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Deck 6: Power, Polynomial, and Rational Functions
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Question
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
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
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
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
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)
C)
D)
E)
and , find the domain of .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
If 
and 
, find the domain of 
.
A)
B)
C)
D)
E)
and , find the domain of .A)
B)
C)
D)
E)
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
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
Question
If 
and 
, find 
.
A) Undefined
B)
C)
D)
E)
and , find .A) Undefined
B)
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
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
Question
The graph of 
is similar to the graph of 
.
is similar to the graph of . 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
If 
and 
, find the domain of 
.
A)
B) 0
C)
D)
E)
and , find the domain of .A)
B) 0
C)
D)
E)
Question
The function 
exhibits the following end behavior: 
and 
.
exhibits the following end behavior: and . 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 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 1,310.
C) After 84 days, the mouse population is 1,310.
D) After 84 days, the mouse population is 7,005.
E) After 9 days, the mouse population is 2,485.
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 1,310.
C) After 84 days, the mouse population is 1,310.
D) After 84 days, the mouse population is 7,005.
E) After 9 days, the mouse population is 2,485.
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
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 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
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
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 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
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
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
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) -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 graphs represents the function 
?
A)
B)
C)
D)
E)
?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
Let 
and 
. Find 
.
A)
B) 4
C)
D) 12
E) -8
and . Find .A)
B) 4
C)
D) 12
E) -8
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
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
Express the polynomial function 
in complete factored form.
A)
B)
C)
D)
E)
in complete factored form.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
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
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
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
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
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
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
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 is the equation of the vertical asymptote for 
?
A)
B)
C)
D)
E)
?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
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
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
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 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
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
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
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 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
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
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
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
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 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
Find the equation of the horizontal asymptote of 
.
A)
B)
3
C)
D)
E)
.A)
B)
3C)
D)
E)
Question
Find the equation of the horizontal asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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, ). 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
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 y -intercept of 
.
A) (0,
)
B)
C) (0,
)
D) (0,
)
E) (0,
)
.A) (0,
)B)
C) (0,
)D) (0,
)E) (0,
) 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
Find the equation of the vertical asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Deck 6: Power, Polynomial, and Rational Functions
1
If and , find .
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
2
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
12
3
If the rational function has the vertical asymptote , then as , also.
has the vertical asymptote , then as , also.False
4
If and , find .
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
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5
For values of , the function grows faster than the function .
, the function grows faster than the function . Unlock Deck
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6
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
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7
Use the table below to find .
A) -39
B)
C)
D) -380
E)
A) -39
B)
C)
D) -380
E)
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8
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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9
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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10
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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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
If and , find .
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
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13
If and , find .
A) Undefined
B)
C)
D)
E)
and , find .A) Undefined
B)
C)
D)
E)
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14
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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15
If and , find .
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
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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 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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18
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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19
The function exhibits the following end behavior: and .
exhibits the following end behavior: and . Unlock Deck
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20
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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21
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 1,310.
C) After 84 days, the mouse population is 1,310.
D) After 84 days, the mouse population is 7,005.
E) After 9 days, the mouse population is 2,485.
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 1,310.
C) After 84 days, the mouse population is 1,310.
D) After 84 days, the mouse population is 7,005.
E) After 9 days, the mouse population is 2,485.
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22
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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23
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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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
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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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 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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28
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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29
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)
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30
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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k this deck
31
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)
Unlock Deck
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32
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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k this deck
33
Which one of the following graphs represents the function ?
A)
B)
C)
D)
E)
?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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35
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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36
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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37
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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38
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
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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k this deck
40
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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41
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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k this deck
42
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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43
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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44
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
45
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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46
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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k this deck
47
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
48
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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k this deck
49
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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50
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
51
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)
Unlock Deck
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k this deck
52
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)
Unlock Deck
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k this deck
53
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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Unlock Deck
k this deck
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)
Unlock Deck
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k this deck
55
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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56
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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57
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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58
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
59
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)
Unlock Deck
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60
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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61
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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62
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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63
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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64
Find the equation of the horizontal asymptote of .
A)
B) 3
C)
D)
E)
.A)
B)
3C)
D)
E)
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65
Find the equation of the horizontal asymptote for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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66
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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67
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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68
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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69
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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70
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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71
Find the equation of the vertical asymptote for .
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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Unlock Deck
Unlock for access to all 71 flashcards in this deck.
