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

Comparing Exponential, Linear, and Quadratic Growth Answers

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

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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 ?

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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.
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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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Kwame is given the graph below.Which of the following best describes the graph?

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

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grows slower than .
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grows faster than .
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grows at the same rate as .
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grows over a different interval than .
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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 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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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?

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y = 1
B
y = 2
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y = 3
D
y = 4
10

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.

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