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6th Edition

Stewart + 5 others

Publisher: Cengage Learning

ISBN: 9780840068071

Chapter 2, Problem 62RE

(a)

To determine

**To find: **The average rate of change of

Expert Solution

The average rate of change of

**Given information:**

The function is

**Calculation:**

The formula for average rate of change

Substitute

Substitute

Substitute

So, the average rate of change of

Substitute

Substitute

Substitute

So, the average rate of change of

Therefore, the average rate of change of

(b)

To determine

**To check: **Whether the two average rate of change in part(a) is same or not explain.

Expert Solution

The two average rate of change in part (a) are same as the function is linear polynomial function, it varies linearly so the average rate of change is same.

**Given information:**

The function is

As calculated in part(a), the value of average rate of change for both is equal to

The given function

Therefore, the two average rate of change in part (a) are same.