# The average rate of change for the given 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 5T
To determine

## The average rate of change for the given function.

Expert Solution

The average rate of change is 5 ,

### Explanation of Solution

Given information:

The function is f(t)=t22t

To find the average rate of change between t=2 and t=5

Formula used:

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

average rate of change = change in ychange in x=f(b)f(a)ba

Calculation:

Average rate of change =f(5)f(2)52=(522×5)(222×2)3=(2510)(44)3=153=5

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