# 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 58RE
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 2a+h+2

### Explanation of Solution

Given information: Consider the function, f(x)=(x+1)2;      [a,a+h]

Calculation:

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

=f(a+h)f(a)a+ha=((a+h)+1)2((a+1)2)a+ha         Since f(x)=(x+1)2=1h((a+1)2+(a+h+1)2)=2a+h+2

Thus, the average rate of change of the function between the given points is 2a+h+2

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