تكلم مع الذكاء الاصطناعي
Deck 6: Power, Polynomial, and Rational Functions
ملء الشاشة (f)
سؤال
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
سؤال
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
سؤال
If the rational function 
has the vertical asymptote 
, then as 
, 
also.
has the vertical asymptote , then as , also. سؤال
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
سؤال
For values of 
, the function 
grows faster than the function 
.
, the function grows faster than the function . سؤال
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
سؤال
Use the table below to find . 
A) -39
B)
C)
D) -380
E)
A) -39
B)
C)
D) -380
E)
سؤال
If 
and 
, find the domain of 
.
A)
B)
C)
D)
E)
and , find the domain of .A)
B)
C)
D)
E)
سؤال
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
سؤال
If 
and 
, find the domain of 
.
A)
B)
C)
D)
E)
and , find the domain of .A)
B)
C)
D)
E)
سؤال
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
سؤال
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
سؤال
If 
and 
, find 
.
A) Undefined
B)
C)
D)
E)
and , find .A) Undefined
B)
C)
D)
E)
سؤال
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
سؤال
If 
and 
, find 
.
A)
B)
C)
D)
E)
and , find .A)
B)
C)
D)
E)
سؤال
The graph of 
is similar to the graph of 
.
is similar to the graph of . سؤال
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
سؤال
If 
and 
, find the domain of 
.
A)
B) 0
C)
D)
E)
and , find the domain of .A)
B) 0
C)
D)
E)
سؤال
The function 
exhibits the following end behavior: 
and 
.
exhibits the following end behavior: and . سؤال
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
سؤال
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.
سؤال
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)
سؤال
Let 
and 
. Find 
.
A)
B) -4
C) -14
D) 30
E) -176
and . Find .A)
B) -4
C) -14
D) 30
E) -176
سؤال
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)
سؤال
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)
سؤال
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)
سؤال
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
. سؤال
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 . سؤال
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)
سؤال
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
سؤال
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)
سؤال
Let 
and 
. Find 
.
A) -4
B) -14
C)
D) -1
E) 45
and . Find .A) -4
B) -14
C)
D) -1
E) 45
سؤال
Which one of the following graphs represents the function 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
سؤال
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)
سؤال
Let 
and 
. Find 
.
A)
B) 4
C)
D) 12
E) -8
and . Find .A)
B) 4
C)
D) 12
E) -8
سؤال
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)
سؤال
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)
سؤال
Express the polynomial function 
in complete factored form.
A)
B)
C)
D)
E)
in complete factored form.A)
B)
C)
D)
E)
سؤال
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
سؤال
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)
سؤال
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)
سؤال
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
سؤال
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
سؤال
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)
سؤال
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)
سؤال
Which one of the following is the equation of the horizontal asymptote for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
سؤال
Which one of the following is the equation of the vertical asymptote for 
?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
سؤال
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)
سؤال
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 . سؤال
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)
سؤال
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)
سؤال
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)
سؤال
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 . سؤال
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)
سؤال
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
. سؤال
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
, . سؤال
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
سؤال
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 . سؤال
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)
سؤال
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)
سؤال
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 سؤال
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.
سؤال
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 . سؤال
Find the equation of the horizontal asymptote of 
.
A)
B)
3
C)
D)
E)
.A)
B)
3C)
D)
E)
سؤال
Find the equation of the horizontal asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
سؤال
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, ). سؤال
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
. سؤال
Find the x -intercept(s) of 
.
A) (
, 0)
B) (
, 0)
C)
D) (
, 0)
E) (
, 0)
.A) (
, 0)B) (
, 0)C)
D) (
, 0)E) (
, 0) سؤال
Find the y -intercept of 
.
A) (0,
)
B)
C) (0,
)
D) (0,
)
E) (0,
)
.A) (0,
)B)
C) (0,
)D) (0,
)E) (0,
) سؤال
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
سؤال
Find the equation of the vertical asymptote for 
.
A)
B)
C)
D)
E)
.A)
B)
C)
D)
E)
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ملء الشاشة (f)
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 . فتح الحزمة
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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 . فتح الحزمة
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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 . فتح الحزمة
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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
. فتح الحزمة
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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 . فتح الحزمة
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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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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)
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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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33
Which one of the following graphs represents the function ?
A)
B)
C)
D)
E)
?A)
B)
C)
D)
E)
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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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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
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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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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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)
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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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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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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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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 . فتح الحزمة
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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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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)
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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)
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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 . فتح الحزمة
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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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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
. فتح الحزمة
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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
, . فتح الحزمة
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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 . فتح الحزمة
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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)
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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 فتح الحزمة
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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 . فتح الحزمة
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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, ). فتح الحزمة
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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
. فتح الحزمة
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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) فتح الحزمة
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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,
) فتح الحزمة
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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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