AnswersAZ-College Prep Math BComparing Exponential, Linear, and Quadratic Growth

Comparing Exponential, Linear, and Quadratic Growth Answers

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1
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A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?

Question illustration
A
The exponential function decays at one-half the rate of the quadratic function.
B
The exponential function decays at the same rate as the quadratic function.
C
The exponential function decays at two-thirds the rate of the quadratic function.
D
The exponential function decays at three-fourths the rate of the quadratic function.
2
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Kwame is given the graph below.Which of the following best describes the graph?

Question illustration
A
a quadratic equation with differences of 1, then 2, then 4, ...
B
an exponential function with a growth factor of 2
C
a quadratic function with a constant difference of 2
D
an exponential function with growth factors of 1, then 2, then 4, ...
3

A linear function and an exponential function are shown below. Over which interval does the growth rate of the exponential function exceed the growth rate of the linear function?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
4

The graphs of the quadratic function and the exponential function are shown below. Considering only the domain shown on the graph, over which interval is the value of the exponential function greater than the value of the quadratic function?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
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Option D
5

An exponential function and a linear function are graphed below. Over which interval does the growth rate of the exponential function continue to exceed the growth rate of the linear function?

Question illustration
A
to
Option A
B
to
Option B
C
to
Option C
D
to
Option D
6

Which of the following describes the function shown in the table below?xy-416-1220.2540.062550.03125

A
exponential, there is a continual rate of growth
B
exponential, there is a continual rate of decay or decrease
C
quadratic, there is a second degree change in the y-values
D
quadratic, there is a constant difference between consecutive y-values
7

An exponential function and a quadratic function are graphed below. Which of the following is true of the growth rate of the functions over the interval ?

Question illustration
A
The exponential grows at half the rate of the quadratic.
B
The exponential grows at the same rate as the quadratic.
C
The exponential grows at twice the rate of the quadratic.
D
The exponential grows at four times the rate of the quadratic.
8

The graph below shows the graphs of the linear function and the exponential function . Which statement is true?

Question illustration
A
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option A
B
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option B
C
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option C
D
The growth rate of the exponential function exceeds the growth rate of the linear function for .
Option D
9

The table below represents an exponential function.xy0124942,4016117,649How do the y-values in the table grow?

A
The y-values increase by a factor of 49 for each x increase of 1.
B
The y-values increase by 49 for each x increase of 1.
C
The y-values increase by a factor of 7 for each x increase of 1.
D
The y-values increase by 7 for each x increase of 1.
10

Consider the quadratic function shown in the table below.xy0013212327Which exponential function grows at a faster rate than the quadratic function for ?

Question illustration
A
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Option A
B
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Option B
C
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Option C
D
mc013-5.jpg
Option D

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