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

Oct 14, 2015

Average rate of change of $f {\left(x\right)}_{1 : 3} = 8$

#### Explanation:

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

In this case:

$\textcolor{w h i t e}{\text{XXX}} \frac{\Delta f \left(x\right)}{\Delta \left(x\right)} = \frac{f \left(3\right) - f \left(1\right)}{3 - 1}$

$\textcolor{w h i t e}{\text{XXXXXXX}} = \frac{18 - 2}{2} = 8$