# Find the average rate of change of the function between the given points.

### 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, Problem 57RE
To determine

## Find the average rate of change of the function between the given points.

Expert Solution

The average rate of change of the function between the given points is 13h+9

### Explanation of Solution

Given information: Consider the function, f(x)=1x;      [3,3+h]

Calculation:

Recall the formula for average rate of change is A(x)=f(b)f(a)ba

=f(3+h)f(3)3+h3=13+h13h         Since f(x)=1x=h3h(3+h)=13h+9

Thus, the average rate of change of the function between the given points is 13h+9

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