All AP Calculus AB Resources
Example Question #1 : Asymptotic And Unbounded Behavior
Where are the vertical asymptotes on the graph of the function
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.