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Home > PC3 > Chapter 5 > Lesson 5.2.4 > Problem 5-101


​Consider the function .   

  1. Rewrite the equation in factored form.

    Notice that this is a cubic function. In this case, the roots will be factors of . Use polynomial division to identify the roots and write the equation in factored form.

  2. Sketch a graph of the function and describe the end behavior.

    Sketch a prediction of the graph and then use a graphing calculator to check the accuracy of your sketch. Be sure to identify and correct any mistakes.

  3. Use the graph to locate all the vertical asymptotes of .

    Recall that when is undefined, so the graph will have a vertical asymptote.