# the average rate of change of the function.

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.4, Problem 17E
To determine

## To find: the average rate of change of the function.

Expert Solution

The average rate of change of the function is 1a

### Explanation of Solution

Given information:

The function is g(x)=1x and value of the variables is x=1 and x=a

Formula used:

The average rate of change of the function is g(x2)g(x1)x2x1 .

Calculation:

Substitution of g(1) and g(a)

g(1)=11       =1

And,

g(a)=1a

Therefore, the average rate of change on the indicated interval will be:

g(a)g(1)a1=1a1a1                   =1aaa1                           [simplify]                   =1aa(a1)                     [factor out 1]                   =(a1)a(a1)                    [cancel any common factor]                   =1a

Hence, the average rate of change of the function is 1a

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