Calculus Examples

Let

h (x) = - x^{3} + 3 x^{2} + 9

$h (x) = - x^{3} + 3 x^{2} + 9$

Step 1

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

Increasing on:

(0, 2)

$(0, 2)$

Decreasing on:

(- \infty, 0), (2, \infty)

$(- \infty, 0), (2, \infty)$

Step 2