Leading term test for polynomial end behavior :

The end behavior of any non-constant polynomial function can be described in one of the following four ways, as determined by the degree of the polynomial and its leading coefficient .

For odd and positive :

and .

For odd and negative :

and .

For even and positive :

and .

For even and negative :

and .

Observe the graph of the function :

The end behavior of the graph is and .

So the degree of the polynomial function is even and leading coefficient is positive.

is even and is positive.