   Chapter 10.4, Problem 3E 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.]Interval: [ − 3 , − 1 ] x –3 –2 –1 0 f ( x ) –2.1 0 –1.5 0

To determine

To calculate: The average rate of change of the function over the interval [3,1] with the help of the table provided.

 x −3 −2 −1 0 f(x) −2.1 0 −1.5 0
Explanation

Given Information:

The interval is [3,1] and the data table is shown below:

 x −3 −2 −1 0 f(x) −2.1 0 −1.5 0

Formula used:

Average rate of change of 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 interval [3,1],

From the table, find the value of function f(x) corresponding to interval [3,1]:

 x −3 −2 −1 0 f(x) −2

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