   Chapter 9, Problem 39RE ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

#### Solutions

Chapter
Section ### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# Find the average rate of change of f ( x ) = 2 x 4 − 3 x + 7  over  [ − 1 , 2 ] .

To determine

To calculate: The average rate of change of f(x)=2x43x+7 over the interval [1,2].

Explanation

Given Information:

The function is f(x)=2x43x+7 over the interval [1,2].

Formula used:

The average rate of change of a function y=f(x) from x=a to x=b is defined by

Average rate of change=f(b)f(a)ba

Calculation:

Consider the provided function,

f(x)=2x43x+7

For x=1, substitute 1 for x,

f(1)=2(1)43(1)+7=2(1)+3+7=2+10=12

For x=2, substitute 2 for x,

f

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