What gives a cubic curve its curves?
Below are four cubic curves.
Can you form an equation for each?
What does the curve tell you about the properties of the cubic polynomial?
![plot of 4 cubic curves coloured red, black, blue and orange, intersecting the x axis in 1, 2 or 3 points.](/calculus-meets-functions/curvy-cubics/images/cubics.png)
What gives a cubic curve its curves?
Below are four cubic curves.
Can you form an equation for each?
What does the curve tell you about the properties of the cubic polynomial?