### Home > PC3 > Chapter 10 > Lesson 10.2.1 > Problem10-114

10-114.

Consider the function $g(x) = 6 − 2x$.

1. What is the average rate of change of g over the interval $2 ≤ x ≤ 6$?

$\frac{g(6) - g(2)}{6-2}$

2. Does the average rate of change differ for the interval $5 ≤ x ≤ 7$? Why or why not?

$\frac{g(7) - g(5)}{7-5}$

3. Prove your answer to part (b) by computing the average rate of change for $g$.

$\frac{g(b) - g(a)}{b-a} = \frac{6 - 2b - (6 - 2a)}{b - a} =$