Question

The function y, equals, f, of, xy=f(x) is graphed below. What is the average rate of change of the function f, of, xf(x) on the interval minus, 6, is less than or equal to, x, is less than or equal to, minus, 2−6≤x≤−2?

Answer 1

The average rate of change of f on [−6,−2] is

(f(−2) − f(−6)) / (−2 − (−6)) = (f(−2) − f(−6)) / 4.

If you give the y‑values from the graph at x = −6 and x = −2 I can compute the numerical value.