The function is .

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 .

Degree of the function is .

Leading coefficient is .

As the degree of the polynomial function is odd and leading coefficient is negative.

The end behavior of the graph is and .

is odd and is negative.

End behaviour : and .