Question

What’s the average rate of change of the function g(x)= x^3- 2x- 5 over the interval [1,3]

Answer 1

11

Explanation:

Here the function is g(x) = x^3- 2x - 5 and the interval of interest is [1, 3].

The average rate of change is

g(3) - g(1) 3^3 - 2(3) -5 - (1^3 - 2(1) - 5

------------------ = -----------------------------------------

3 - 1 2

Simplifying, we get:

27 - 6 - 5 - 1 + 2 + 5 16 - (-6)

ave. r. of change = ------------------------------ = ------------------- = 11

2 2