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# 2.3 - 2.3 Polynomial Functions and Their Graphs Identify...

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2.3 Polynomial Functions and Their Graphs Identify polynomial functions. Polynomial functions of degree 2 or higher have graphs that are smooth and continuous. By smooth , we mean that the graphs contain only rounded curves with no sharp corners. By continuous , we mean that the graphs have no breaks and can be drawn without lifting your pencil from the rectangular coordinate system. Recognize characteristics of graphs of polynomial functions.

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Determine end behavior. Odd-degree polynomial functions have graphs with opposite behavior at each end. Even-degree polynomial functions have graphs with the same behavior at each end.
Use factoring to find zeros of polynomial functions. If f is a polynomial function, then the values of x for which f(x) is equal to 0 are called the zeros of f. These values of x are the roots , or solutions , of the polynomial equation f(x)=0. Each real root of the polynomial equation appears as an x-intercept of the graph of the polynomial function.

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