Question

Please answer using gr12 advanced functions showing all the steps.

Thanks!
Find the average rate of change for the function f(x)=24 x³-36 x²-528x-1260 over -2 ≤ x ≤4 .

Answer 1

To find the average rate of change for the given function over the given interval, substitute the endpoints into the function and calculate the difference. Then divide the difference by the difference in x-values.

Step-by-step explanation:

To find the average rate of change for the function f(x)=24x³-36x²-528x-1260 over -2 ≤ x ≤ 4, we need to calculate the difference in the function values at the endpoints of the interval and divide by the difference in the x-values.

First, substitute x = 4 into the function to find f(4). Then substitute x = -2 into the function to find f(-2). Subtract the result of f(-2) from f(4), and divide by 4 - (-2).

The average rate of change is the quotient obtained from the division.