# 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 18E
To determine

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

Expert Solution

The average rate of change of the function is 2(h+1)

### Explanation of Solution

Given information:

The function is g(h)=2h+1 and value of the variables is x=0 and x=h

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(h)=2h+1       =1g(0)=20+1=2

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

g(h)g(0)h0=1h(2h+12)                   =1h(2hh+1)                          [simplify]                   =2(h+1)                [cancel any common factor]

Hence, the average rate of change of the function is 2(h+1) .

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