# How do you find the average rate of change of f(x)=-3x^2+2 between [-3,5]?

Oct 13, 2015

Average rate of change $= - 6$

#### Explanation:

Average rate of change $= \frac{\Delta f \left(x\right)}{\Delta x}$

For the given case, average rate of change

$\textcolor{w h i t e}{\text{XXXX}} = \frac{f \left(5\right) - f \left(- 3\right)}{5 - \left(- 3\right)}$

$\textcolor{w h i t e}{\text{XXXX}} = \frac{\left(- 73\right) - \left(- 25\right)}{8} = \frac{- 48}{8} = - 6$