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Its Professor Dave, lets graph higher-degree polynomials. We now know how to graph a variety of functions, including parabolas, which are second-degree, or quadratic functions. But what about cubic functions, or quartic, or functions of higher degree still? This can get very difficult very fast, as plotting points gets rather time consuming, and the behavior of these functions is not as predictable as lines and parabolas. But there are a few tricks we can use to get rough sketches of these functions that are fairly accurate, and provide some key information about the function that is useful. Lets learn these tricks now. First, we must realize that polynomial functions with a degree of two or higher are smooth and continuous. They can have hills and valleys in the middle, but on either side they tend to go towards positive or negative infinity. There are several possibilities for the end behavior of polynomial functions, which means what it does as X goes to positive or negative inf
