# the average rate of change of function between the given values of the variable

### 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 16E
To determine

## To find : the average rate of change of function between the given values of the variable

Expert Solution

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

### Explanation of Solution

Given information :

A function is f(x)=4x2;x=1,x=1+h

Formula used :

The average rate of change of function is defined by f(x2)f(x1)x2x1 .

Calculation :

The function is f(x)=4x2;x=1,x=1+h

Put the values of x1 and x2 into the formula

f(1+h)f(1)1+h1[4(1+h)2](41)h4(1+2h+h3)3h112hh2hh(2+h)h(2+h)

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

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