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A close look at polynomials shows a wide variety of interesting behavior. This Demonstration shows the opposite—the predicable, eventual behavior of a polynomial. Indeed, when the range is maximized, there seem to be only four different graphs: Up, up: highest nonzero power is even with a positive coefficient. Down, down: highest nonzero power is even with a negative coefficient. Up, down: highest nonzero power is odd with a negative coefficient. Down, up: highest nonzero power is odd with a positive coefficient.

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      EUN,LOM,LRE4,work-cmr-id:397102,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/EndBehaviorOfPolynomialFunctions/,ilox,learning resource exchange,LRE metadata application profile,LRE

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