Question

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

Answer 1

Answer:

2

Step-by-step explanation:

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

$\frac{f(8) - f(2)}{8 - 2}$

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

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

$\frac{8 - (-4)}{8-2} = \frac{8 + 4}{8-2} = \frac{12}{6} = 2$