Question

Given that f(x)=2x-8, determine the average rate of change over the interval [2, 8].

Answer 1

2

Explanation:

The average rate of change over [2, 8] is the change in the y-values over the change in the x-values.

`(f(8) - f(2))/(8 - 2)`

`f(8) = 2(8) - 8 = 16 - 8 = 8`

`f(2) = 2(2) - 8 = 4 - 8 = -4`

`(8 - (-4))/(8-2) = (8 + 4)/(8-2) = (12)/(6) = 2`