### Home > PCT > Chapter Ch9 > Lesson 9.1.3 > Problem 9-42

9-42.

Complete the following. Homework Help ✎

What is the average rate of change of the function

*g*(*x*) = 6 − 2*x*over the interval [2, 6]?Over the interval [5, 7]?

Do you think it is true that

*g*(*x*) will have a constant average rate of change over*any*interval? Why or why not?Prove your answer to part (c) by computing the average rate of change for

*g*(*x*) over the interval [*a*,*b*].

Yes, because it is linear.