Comparing Exponential, Linear, and Quadratic Growth

Question 1

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?

Revolt · Accepted Answer

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Question 2

A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?

Revolt · Accepted Answer

The exponential function decays at three-fourths the rate of the quadratic function.

Question 3

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

Revolt · Accepted Answer

The exponential function grows faster than the quadratic function over two intervals; 2<x<4.

Question 4

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?

Revolt · Accepted Answer

to

Question 5

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

Revolt · Accepted Answer

grows slower than .

Question 6

Which of the following describes the function shown in the table below?xy-416-1220.2540.062550.03125

Revolt · Accepted Answer

exponential, there is a continual rate of decay or decrease

Question 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 ?

Revolt · Accepted Answer

The exponential grows at the same rate as the quadratic.

Question 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?

Revolt · Accepted Answer

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Question 9

Study this table. xy–3–2–2004412Which best describes the function represented by the data in the table?

Revolt · Accepted Answer

linear with a common first difference of 2

Comparing Exponential, Linear, and Quadratic Growth Answers

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