Question

How do you find the average rate of change of `f(x)=2x^2` over interval [1,3]?

Answer 1

Average rate of change of `f(x)_(1:3) = 8`

Explanation:

Average rate of change:
`color(white)("XXX")(Delta f(x))/(Delta (x)` over some specified range

In this case:

`color(white)("XXX")(Delta f(x))/(Delta (x))= (f(3)-f(1))/(3-1)`

`color(white)("XXXXXXX")=(18-2)/2 =8`