AnswersCREDIT RE-SEAT MNPS Integrated Math III IC S1 26-27Comparing 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?

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A
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Option A
B
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Option B
C
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Option C
D
mc004-5.jpg
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?

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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?

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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
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Option D
11

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
12

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.
13

The graph below shows the exponential function and the linear 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 = 2
C
y = 3
D
y = 4
14

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

Question illustration
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.
15

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

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
16

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
17

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

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