   Chapter 9.3, Problem 3E ### 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.For f(x) given by the table, over (a) [2, 5] and (b) [3.8, 4] X 0 2 2.5 3 3.8 4 5 f(x) 14 20 22 19 17 16 30

(a)

To determine

To calculate: The average rate of change for the function f(x), over [2,5], the given table,

 x 0 2 2.5 3 3.8 4 5 f(x) 14 20 22 19 17 16 30
Explanation

Given Information:

The provided table,

 x 0 2 2.5 3 3.8 4 5 f(x) 14 20 22 19 17 16 30

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 table,

 x 0 2 2.5 3 3.8 4 5 f(x) 14 20 22 19 17 16 30

For the interval [2,5], the values of the function at x=2 and x=5 are found from the table

(b)

To determine

To calculate: The average rate of change for the function f(x), over [3.8,4], the given table,

 x 0 2 2.5 3 3.8 4 5 f(x) 14 20 22 19 17 16 30

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