Now, were going to play a little Calculus game on these guys.  Don't worry -- it's really easy.  Just some picture stuff.

We're going to look at what's going on with those tails...

a graph of a polynomial with both tails shooting down

a graph of a polynomial with one tail shooting down and one tail shooting up

Really, we want to know two things:

1 )What happens to the height of the graph as x gets really, really big?
2 )What happens to the height of the graph as x gets really, really small?

The phrasing on this might get you...  Just keep reading and I'll put it a few different ways.