Question

How do you calculate the average rate of change of `f(x) =x^2+3x-2` on the interval `1<=x<=4`?

Answer 1

`13/3`

Explanation:

average rate of change is simply the slope of the line through `(1,f(1)) and (4,f(4))`

`f(1)=1^2+3(1)-2=2`
`f(4)=4^2+3(4)-2=26`

average rate of change: `(26-2)/(4-1)=13/3`