Question

find the average rate of change, in simplest form, of the function over the interval 4\le x \le 74≤x≤7.

Answer 1

`Average\ Rate = (104)/(3)`

Explanation:

Given

See attachment for table

Required

Determine the average rate of change over: 4≤x≤7.

Average rate of change is calculated as:

`Average\ Rate = (f(b) - f(a))/(b - a)`

Where:

`a=4`

`b = 7`

So:

`Average\ Rate = (f(b) - f(a))/(b - a)`

`Average\ Rate = (f(7) - f(4))/(7 - 4)`

`Average\ Rate = (f(7) - f(4))/(3)`

From that table:

f(4) =

f(7) =

So:

`Average\ Rate = (f(7) - f(4))/(3)`

`Average\ Rate = (108-4)/(3)`

`Average\ Rate = (104)/(3)`