**End Behavior**

The appearance of a graph as it is followed farther and farther in either direction. For polynomials, the end behavior is indicated by drawing the positions of the arms of the graph, which may be pointed up or down. Other graphs may also have end behavior indicated in terms of the arms, or in terms of asymptotes or limits.

Polynomial End Behavior:

1. If the degreenof a polynomial is even, then the arms of the graphare either both up or both down.

2. If the degreenis odd, then one arm of the graph is up and one isdown.

3. If the leading coefficientaispositive, the right arm of the graph is up._{n}

4. If the leading coefficientaisnegative, the right arm of the graph is down._{n}

**See also**

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