In this module you will investigate limits and the behavior of functions as x and y approach infinity. As in previous modules, the investigations will be graphical, numerical and symbolic.

Lesson Index:

5.1 - Vertical and Horizontal Asymptotes

5.2 - Holes

5.3 - Oblique Asymptotes

5.4 - Nonlinear Asymptotes

After completing this module, you should be able to do the following:

• Use graphs, tables and limits to describe the behavior of rational functions
• Use the TI-89 zeros( command to find the zeros of a function
• Use the TI-89 propFrac( command to convert rational functions to proper fractions
• Understand how the parts of the proper fraction are related to the graph of the rational function
• Find vertical, horizontal, oblique and nonlinear asymptotes