Question

What is the rate of change of the function f(x)=0.25x2−2x on the interval [1, 6]?

Answer 1

- .25 (per unit)

Explanation:

Value at 1 : .25 (1^2) - 2(1) = -1.75

Value at 6: .25 (6^2) -2(6) = -3

this happens on the interval length (6-1) = 5

rate of change is then ( -3 - - 1.75) / (5) = - .25