AP Calculus AB : Graphical behavior of asymptotes

Study concepts, example questions & explanations for AP Calculus AB

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Example Questions

Example Question #1 : Functions, Graphs, And Limits

Where are the vertical asymptotes on the graph of the function 

Possible Answers:

Correct answer:


To solve this, find where the function cannot exist. Here, the function cannot exist if the denominator is zero. This happens at x=2 and x=-2. Graph the function on a graphing calculator or by hand to see that the function never crosses these vertical lines. It only gets infinitely close. This is characteristic of vertical asymptotes. 

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