# To find 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 11E
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 5 .

### Explanation of Solution

Given information :

A function is h(t)=t2+2t for t=1,t=4

Formula used :

The average rate of change of a function is defined by, h(t2)h(t1)t2t1

Calculation :

The function is h(t)=t2+2t for t=1,t=4

Put the values of t1=1 and t2=4 into the formula

h(4)h(1)(4)(1)[42+(2×4)]((1)2+(2×(1)))4+124(1)5255=5

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