Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 1 ≤ x ≤ 7.

Answer 1

we can calculate the average rate of change using this formula

`(f(x_2)-f(x_1))/(x2-x1)`

where x2 is 7 and f(x2) is the corresponfing value, 17

x1 is 1 and f(x1) is 95, then replacing

`\begin{gathered} (17-95)/(7-1) \\ \\ (-78)/(6) \\ \\ =-13 \end{gathered}`

the rate of change is -13