Comparing Exponential, Linear, and Quadratic Growth

Question 1

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 2

The table below represents an exponential function.xy0124942,4016117,649How do the y-values in the table grow?

Revolt · Accepted Answer

The y-values increase by a factor of 7 for each x increase of 1.

Question 3

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

Revolt · Accepted Answer

The exponential grows at approximately half the rate of the quadratic.

Question 4

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

mc004-5.jpg

Question 5

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 6

The graph below shows the graphs of the linear function and the exponential function . Which statement is true?

Revolt · Accepted Answer

The growth rate of the exponential function exceeds the growth rate of the linear function for .

Question 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?

Revolt · Accepted Answer

y = 4

Question 8

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?

Revolt · Accepted Answer

y = 4

Question 9

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

mc010-6.jpg

Question 10

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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