   Chapter 9.3, Problem 2E ### 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. f ( x ) = 6 − x − x 2 over (a) [-1, 2] and (b) [1, 10]

(a)

To determine

To calculate: The average rate of change of f(x)=6xx2 over [1,2].

Explanation

Given Information:

The function is f(x)=6xx2 over [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)=6xx2

For x=1, substitute 1 for x to the given function,

f(x)=6xx2f(1)=6(1)(1)2=6+11=6

For x=2, substitute 2 for x to the given function,

f(x

(b)

To determine

To calculate: The average rate of change of f(x)=6xx2 over [1,10].

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