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

Comparing Exponential, Linear, and Quadratic Growth Answers

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The graph below shows a linear function and an exponential function.What is the minimum y-value after which the exponential function will always be greater than the linear function?

Question illustration
A
y = 1
B
y = 3
C
y = 4
D
y = 5
2
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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 ?

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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.
3

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.
4

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?

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A
to
Option A
B
to
Option B
C
to
Option C
D
to
Option D
5

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
6

For which pair of functions is the exponential consistently growing at a faster rate than the quadratic over the interval ?

Question illustration
A
mc015-2.jpg
Option A
B
mc015-3.jpg
Option B
C
mc015-4.jpg
Option C
D
mc015-5.jpg
Option D
7

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, ...
8

Study the table. xy–28–12001228Which best describes the function represented by the data in the table?

A
linear with a common ratio of 4
B
linear with a common second difference of 4
C
quadratic with a common ratio of 4
D
quadratic with a common second difference of 4
9

Study this table. xy–3–2–2004412Which best describes the function represented by the data in the table?

A
linear with a common ratio of 2
B
linear with a common first difference of 2
C
quadratic with a common ratio of 2
D
quadratic with a common first difference of 2
10

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.

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