   Chapter 9.3, Problem 1E ### 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

# In Problems 1-4, for each given function, find the average rate of change over each specified interval. 1 . f ( x ) = x 2 + x − 12 over  ( a )   [ 0, 5 ]  and  ( b )   [   −  3, 10 ]

(a)

To determine

To calculate: The average rate of change of f(x)=x2+x12 over [0,5].

Explanation

Given Information:

The function is f(x)=x2+x12 over [0,5].

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)=x2+x12

For x=0, substitute 0 for x to the given function,

f(x)=x2+x12f(0)=(0)2+012=12

For x=5, substitute 5 for x to the given function,

f(x)=x2

(b)

To determine

To calculate: The average rate of change of f(x)=x2+x12 over [3,10].

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