It would be a good idea to try to *sketch* some of the cubics first before trying to form an equation.

Can you find a cubic curve that…

… has no stationary points?

… has two stationary points: one when \(x=2\) and another when \(x=5\)?

… has a local minimum when \(x=-1\)?

… has a local minimum when \(x=-2\) and a local maximum when \(x=4\)?