Need to know how to solve this please.

Question

Given the function h(x)=−x2+8x+22, determine the average rate of change of the function over the interval −2≤x≤7.

Answer 1

Evaluate the function at both ends of the interval, take he difference, and divide by the length of the interval.

h₂ = h(7) = -7² + 8(7) + 22 = ?

h₁ = h(-2) = -(-2)² + 8(-2) + 22 = ?

Average rate of change is

(h₂ - h₁) / [7 - (-2)] = ?

Plug in the numbers and finish from here.