Draw a rough sketch of
and make a note of its features.
Let's move on to odd degree polynomials. Our easiest odd degree guy is the disco graph... We really should give him a more mathematical name. How about Standard Cubic Guy?
|Notice those tails. They go in opposite directions!|
Boring without any wobbles though.
Pop this guy into a graphing calculator:
The tails do the same thing as Standard Cubic Guy... But, we get to cross three times (3rd degree!)
So, what would this guy look like?