Vertical and Horizontal Asymptotes of Rational Functions

This section will dive deeper into the analytic and algebraic tools for finding the three types of asymptotes found in rational functions. Defining asymptotes will help you graph rational functions without a calculator, determine where the function is undefined, and give you a picture of the general behavior of the function.

Identifying Vertical Asymptotes of Rational Functions

By looking at the graph of a rational function, we can investigate its local behavior and easily see whether there are asymptotes. We may even be able to approximate their location. Even without the graph, however, we can still determine whether a given rational function has any asymptotes, and calculate their location.

Source: Rice University,
Creative Commons License This work is licensed under a Creative Commons Attribution 4.0 License.