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end behavior

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 degreen of a polynomial is even, then the arms of the graphare either both up or both down.
2. If the degree n is odd, then one arm of the graph is up and one isdown.
3. If the leading coefficientan ispositive, the right arm of the graph is up.
4. If the leading coefficient an isnegative, the right arm of the graph is down.

 

See also

Polynomial facts

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