# AP Calculus AB : Graphical behavior of asymptotes

## Example Questions

### Example Question #1 : Asymptotic And Unbounded Behavior

Where are the vertical asymptotes on the graph of the function

Explanation:

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.