Precalculus Examples

$f (x) = x^{3} - 3 x^{2} + 2$

Graph the polynomial in order to determine the intervals over which it is increasing or decreasing.

Increasing on: $(- \infty, 0), (2, \infty)$

Decreasing on: $(0, 2)$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$