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Sketch a graph of so that has the indicated number and type of solutions.

  1. real

    Your graph should have five -intercepts.

  1. real and complex

    Draw a graph with three -intercepts that when shifted vertically would have five -intercepts.

  1.  complex

    Draw a graph with no -intercepts. But, when it is shifted down it should have four -intercepts.

  1. complex and real

  1. For parts (a) through (d), what is the lowest degree each function can have?

    The degree needs to be at least as high as the number of solutions.