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.