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

5-101.

Consider the function .

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. 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.

Use the graph to locate all the vertical asymptotes of

. Recall that when

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