Start your trial now! First week only $4.99!*arrow_forward*

BuyFind*launch*

6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2.4, Problem 21E

a.

To determine

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

Expert Solution

The average rate of change is

**Given information**:

The linear function is

**Formula used:**

**Calculation:**

Substitution of

Therefore, the average rate of change:

Hence, the average rate of change is

b.

To determine

**To show: **the average rate of change is the same as the slope of the line.

Expert Solution

**Given information**:

The linear function is

**Formula used:**

Standard equation of line in Slope-intercept form is:

**Proof:**

Compare

Therefore, the slope of line is

Hence, the slope of line is

So, both the slope and average rate of change is same.

[PROVED]