Question

How do you find the average rate of change of `f(x)= 2/x^2` over the interval [1, 5]?

Answer 1

The average rate of change is `bar C = 13/25`

Explanation:

The average rate of change is simply the incremental ratio calculated over the whole interval, that is:

`bar C = (f(b)-f(a))/(b-a)`

In this case:

`bar C = ( [ 2/5^2 ] + [ 2/1^2 ])/(5-1)=1/4(2/25+2)=13/25`