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

Comparing Exponential, Linear, and Quadratic Growth Answers

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

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Option
Option A
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Option
Option B
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Option
Option C
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Option
Option D
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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
3

From x = 0 to x = 2, which of the following best describes the growth of the two functions below?

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A
grows slower than .
Option A
B
grows faster than .
Option B
C
grows at the same rate as .
Option C
D
grows over a different interval than .
Option D
4

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.
5

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

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Option A
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Option B
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Option C
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Option
Option D
6

Which statement best describes the growth rates of the functions below?

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A
The quadratic function grows faster than the exponential function over the entire interval; 0<x<4.
B
The exponential function grows faster than the quadratic function over the entire interval; 0<x<4.
C
The exponential function grows faster than the quadratic function over only one interval; 2<x<3.
D
The exponential function grows faster than the quadratic function over two intervals; 2<x<4.
7

The graph below shows an exponential function and a quadratic function.How do the functions compare over the interval ?

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

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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to
Option A
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to
Option B
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to
Option C
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to
Option D
9

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
10

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?

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Option A
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Option
Option B
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Option
Option C
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Option
Option D

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