**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 negative.

** **is even and** ** is negative.

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