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Comparing Exponential, Linear, and Quadratic Growth Answers

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1
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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.
2
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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

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
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Option
Option C
D
Option
Option D
4

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
B
Option
Option B
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Option
Option C
D
Option
Option D
5

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.
6

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

Question illustration
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 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
8

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?

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

Use the data in the table to complete the sentence.xy–27–160514The function has an average rate of change of __________.

A
1
B
-1
C
2
D
-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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