Question

Given the function defined in the table below, find the average rate of change, in simplest form, of the function over the interval 2 << 8. 2 82 4 52 6 30 8 16 10 12 12

Answer 1

The average rate of change of a function is determined by

`(f(b)-f(a))/(b-a)`

using the interval that you were given select the two corresponding points in the table ( 2 & 8 )

Point a (2,82)

Point b (8,16)

Replace the points into the formula

`\begin{gathered} (16-82)/(8-2) \\ (-66)/(6) \\ -11 \end{gathered}`

The average rate of change of the function over the inverval [2,8] will be -11