# The average rate of change of function f between x = a and x = b .

### 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 2E
To determine

## To fill: The average rate of change of function f between x=a and x=b .

Expert Solution

The average rate of change of function is f(b)f(a)ba .

### Explanation of Solution

The average rate of change of a function is the slope of the secant line between the x=a and x=b .

Average rate of change of function y=f(x) between x=a and x=b .

Averagerateofchange=ChangeinyChangeinx=f(b)f(a)ba

Thus, the average rate of change of function is f(b)f(a)ba .

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