Question

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −1≤x≤4?

Answer 1

I can't see the graph you mention. The average rate of change on [−1,4] is

(f(4) − f(−1)) / (4 − (−1)) = (f(4) − f(−1)) / 5.

If you tell me the y-values f(−1) and f(4) (or upload the graph), I will compute the numerical value.