Question

How do you find the average rate of change for the function `f(x)=x^2+3` on the indicated intervals [3,4]?

Answer 1

Average change: `7`

Explanation:

The average rate of change for a continuous function `f(x)` over the interval `[a,b]` is
`color(white)("XXX")(f(b)-f(a))/(b-a)`

In this case we have
`color(white)("XXX")(f(4)-f(3))/(4-3)`

`color(white)("XXX")=((4^2+3)-(3^2+3))/1`

`color(white)("XXX")=7`