Algebra Examples

$y = 3 x - x^{3}$

Step 1

Reorder $3 x$ and $- x^{3}$ .

$y = - x^{3} + 3 x$

Step 2

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

Increasing on: $(- 1, 1)$

Decreasing on: $(- \infty, - 1), (1, \infty)$

Step 3