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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.4, Problem 4E

(a)

To determine

**To fill:** The average rate of change of function *f* between

Expert Solution

The average rate of change of a function is the slope of the secant line between

**Given:**

Average rate of change of function
*.*

So, the average rate of change of a function is the slope of the secant line between

(b)

To determine

**To fill:** The average rate of change of linear function

Expert Solution

The average rate of change of linear function

**Formula used:**

Average rate of change of function
*.*

**Given:**

The given function is,

**Calculation:**

Suppose the two point between which the average rate of change of the linear function is to be calculated is

Substitute
*a* and
*b* in equation (1)

For,
*x* in equation (1)

For,
*x* in equation (1)

Substitute

Therefore, the average rate of change of linear function