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

Comparing Exponential, Linear, and Quadratic Growth Answers

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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 ?

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.
2
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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
3

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
4

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
5

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
6

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
mc010-4.jpg
Option A
B
mc010-5.jpg
Option B
C
mc010-6.jpg
Option C
D
mc010-7.jpg
Option D
7

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
8

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.
9

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.
10

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, ...

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