Question

How do you find the average rate of change of `f(x) = 4 - x^2` over the interval [-2,2]?

Answer 1

The average rate of change is `(f(2)-f(-2))/(2-(-2)`

Explanation:

You may do the arithmetic is you like, but since `f(-a) = f(a)` for all `a` (that is, `f` is an even function), we have

average rate of change `= 0`