Find the average rate of change of the function over the given intervals. f(x) = 9x3 + 9; [6,8], [-1,1] the average rate of change of the function f(x) = 9x3 + 9 over the interval [6,8] is (simplify your answer.) the average rate of change of the function f(x) = 9x3 + 9 over the interval [-1,1] is (simplify your answer.)

The average rate of change of the function f(x) = 9x3 + 9 over the interval [6,8] is 1332

The average rate of change of the function f(x) = 9x3 + 9 over the interval [-1,1] is 9.

Step-by-step explanation:

Given a function y, the average rate of change S of in an interval   will be given by the following equation:

In this problem, we have that:

Interval [6,8].

So

So

The average rate of change of the function f(x) = 9x3 + 9 over the interval [6,8] is 1332.

Interval [-1,1].

So

So

The average rate of change of the function f(x) = 9x3 + 9 over the interval [-1,1] is 9.