# The average rate of change of a linear 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, Problem 5RCC
To determine

## To define: The average rate of change of a linear function.

Expert Solution

The average rate of change is constant for a linear function. So, the average rate of change remains the same for entire domain of a linear function.

### Explanation of Solution

Given information:The average rate of change of a linear function.

The average rate of change between two input values is total change of the function values (output) divided by the change in the input values.

So, the average rate of change is constant for a linear function.

Thus, the average rate of change remains the same for entire domain of a linear function.

The average rate of change of the function y=f(x) between x=a and x=b is

Average rate of change = (Change in y )/(Change in x ) =f(b)f(a)ba .

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