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 20E
To determine

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

Expert Solution

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

Explanation of Solution

Given information:

The function is f(t)=t and value of the variables is t=a and t=a+h

Formula used:

The average rate of change of the function is f(x2)f(x1)f2f1

Calculation:

Substitution of f(a) and f(a+h)

f(a)=af(a+h)=a+h

Therefore,

the average rate of change on the indicated intervalwill be: f(a+h)f(a)(a+h)a=1h(h+aa)

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

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