1. 6.5 Using derivatives in graphing
Let 𝑔 𝑥 = 𝑥 3 −3 𝑥 2 −9𝑥+22
Find the intervals on which 𝑔 is increasing and on which 𝑔 is decreasing.
Use the information to graph.

2. 𝑔 𝑥 = 𝑥 3 −3 𝑥 2 −9𝑥+22
Find the derivative (this will give you the x-values of the extremes)
Find the y-coordinates of those extremes
By plugging in particular x-values within the intervals created by the zeros, determine whether the graph is increasing (+ derivative) or decreasing (- derivative)
By looking at the behavior of the graph around your stationary points, determine whether an extreme point (relative or absolute) actually exists there.