   Chapter 10.4, Problem 17E Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203

Solutions

Chapter
Section Finite Mathematics and Applied Cal...

7th Edition
Stefan Waner + 1 other
ISBN: 9781337274203
Textbook Problem

In Exercises 1–18, calculate the average rate of change of the given function over the given interval. Where appropriate, specify the units of measurement. [HINT: See Example 1.] f ( x ) = x 2 2 + 1 x ; [ 2 , 3 ]

To determine

To calculate: The average rate of change of the function f(x)=x22+1x over the interval [2,3].

Explanation

Given Information:

The interval is [2,3] and the function is f(x)=1x.

Formula used:

The average rate of change f(x) over the interval [a,b] is:

Average rate of change of f=Change in fChange in x=ΔfΔx=f(b)f(a)ba

Calculation:

Consider the function f(x)=x22+1x and the interval [2,3].

Substitute the value x=3 in the function f(x)=x22+1x and solve for f(3):

f(3)=(3)22+1(3)=92+13=27+26=296

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