Question

Given the function f(x) = x² - x - 8, determine the average rate of change of the

function over the interval –4 < x < 3.

Answer 1

Average Rate = -14/7

Explanation:

f(3) = 3^2 - 3 - 8 = -2

f(-4) = (-4)^2 - (-4) - 8 = 12

interval: [-4, 3]

Average Rate = [f(b) - f(a)]/(b - a) interval: [a, b]

= [(-2) - 12] / [3 - (-4)]

= -14/7