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Make a sketch of the graph of each of the following functions. Describe the graphs.

  1. Identify the -intercept and all of the -intercepts.

    What is the degree of the polynomial?
    How does this relate to the end behavior of the graph?

    Any factor that is 'squared' creates a double root.
    What do double roots look like on a graph?

  1. This graph is almost the same as the graph in part (a).
    How is it different?