Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 4, is less than or equal to, x, is less than or equal to, 64≤x≤6.
xx f, of, xf(x)
22 1010
33 88
44 88
55 1010
66 1414

Answer 1

Average rate of change = [f(6) − f(4)] / (6 − 4) = (14 − 8) / 2 = 6 / 2 = 3.