   Chapter 9, Problem 48RE Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340

Solutions

Chapter
Section Mathematical Applications for the ...

12th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781337625340
Textbook Problem

Use the given table of values for g(x) to(a) find the average rate of change of g(x) over [2, 5].(b) approximate g' (4) as accurately as possible. x 2 2.3 3.1 4 4.3 5 g(x) 13.2 12.1 9.7 12.2 14.3 18.1

(a)

To determine

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

 x 2 2.3 3.1 4 4.3 5 g(x) 13.2 12.1 9.7 12.2 14.3 18.1
Explanation

Given Information:

The function g(x), over [2,5], given by the table,

 x 2 2.3 3.1 4 4.3 5 g(x) 13.2 12.1 9.7 12.2 14.3 18.1

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 2 2.3 3.1 4 4.3 5 g(x) 13.2 12.1 9.7 12.2 14

(b)

To determine

To calculate: The value of g(4) for the function g(x) with values represented in the following table,

 x 2 2.3 3.1 4 4.3 5 g(x) 13.2 12.1 9.7 12.2 14.3 18.1

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