Question

given the funcrion defined in the table below find the average rate of change in simplest form of the function over the interval 3

Answer 1

The expression to calculate the average rate in the interval 3
`(f(5)-f(3))/(5-3)`From the table f(5)=40 and f(3)=10.

`\begin{gathered} (f(5)-f(3))/(5-3)=(40-10)/(2) \\ =(30)/(2) \\ =15 \end{gathered}`

Thus, the average rate of change in the function over the interval 3 to 5 is 15.