Q:

What is the end behavior of polynomial functions?

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Quick Answer

Even and odd polynomials have different end behaviors on their graphs. Whether the leading term is positive or negative also affects the polynomial���s end behavior. Polynomials have different graphical representations based on their degree; the degree of a polynomial is the exponent to which the leading term is raised.

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Full Answer

Even-degree polynomials behave like quadratics, while odd-degree polynomials behave like cubic graphs. If an even-degree polynomial has a positive leading coefficient, the two ends of the graph point upward. If an even-degree polynomial has a negative leading coefficient, the two ends of the graph point downward. If an odd-degree polynomial is positive, the left end points down and the right end points up. If an odd-degree polynomial has a positive leading coefficient, the left end points up and the right end points down.

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