A) Find the average value of the function over the given interval. (Round your answer to four decimal places.) f(x) = 16 - x^2 , [-4, 4]
???

B) Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)
x = ???

(a) The average rate of change is 0

(b) The values of x are:

Step-by-step explanation:

Given

Solving (a): The average rate of change (m)

This is calculated using:

Where

So:

Solve f(4) and f(-4)

So:

Solving (b): All values of x where

In (a), we have:

So:

So, we have:

Express 16 as

Apply difference of two squares

Split

Solve for x

c 1 hour

step-by-step explanation:

m = 2e

m = 2 so 2 = 2e

1 = e