OK...  Now that we are understanding some things...

What would the graph of this guy look like?

f ( x ) = x^6 + some x stuff

*It can cross the x-axis 6 times, but not more.

*Both tails will shoot up.

rough sketch of f ( x ) = x^6 + some x stuff

Get the idea? It's pretty easy!


YOUR TURN:

Draw a rough sketches of

f ( x ) = -x^6 + some x stuff

f ( x ) = -x^2 + some x stuff