Graphing Rational Functions and Their Asymptotes

The video tutorial explains asymptotes and their role in graphing rational functions. It begins with an introduction to rational functions and their domains, followed by a detailed explanation of graphing the function 1/x. The tutorial then covers how to find vertical and horizontal asymptotes, using examples to illustrate the process. Finally, it discusses strategies for graphing rational functions, including using transformations and testing points to understand function behavior.

What role do leading coefficients play in determining horizontal asymptotes?

Can a function cross an asymptote? Provide an example.

Describe how to graph a rational function using asymptotes.