Question

How do you calculate the average rate of change `f( x ) = \frac { x ^ { 2} } { 4} - 5` for `3<=x<=5`?

Answer 1

The average rate of change of any
function `f` over interval `[a,b]` is defined to be `(f(b)-f(a))/(b-a)`.

Explanation:

So, you need to find

`(f(5)-f(3))/(5-3)`.

You should get `((25/4-5)-(9/4-5))/(5-3) = 4/2 = 2`