### Home > AC > Chapter 16 > Lesson 16.9.1.3 > Problem 9-42

9-42.

Complete the following.

What is the average rate of change of the function

over the interval? Over the interval

? Do you think it is true that

will have a constant average rate of change over*any*interval? Why or why not?Yes, because it is linear.

Prove your answer to part (c) by computing the average rate of change for

over the interval.