Question

The function h(x) is given in the table below. Which of the following choicesshows the average rate of change of the function over the interval 2 < x < 6?7

Answer 1

$\begin{gathered} \text{average rate = }\frac{change\text{ in output}}{\text{change in input }} \\ \text{average rate = }\frac{3-9}{6-2} \\ \text{average rate= }\frac{-6}{4} \\ \text{average rate = -}\frac{3}{2} \end{gathered}$

Note the average rate of change is for the interval below

$2\leq x\leq6$