Algebra 92 - Rational Functions and Holes

This lecture explores rational functions, focusing on zeros of numerators and denominators, and their impact on graph characteristics like vertical asymptotes and holes. It explains how to simplify rational functions by eliminating identical factors and provides examples to illustrate these concepts. The lecture emphasizes the importance of understanding function domains and graphing techniques.

What steps should be taken to graph a rational function?

What is the effect of excluding certain X values from the domain of a rational function?

How do you determine the vertical asymptotes of a rational function?

In what scenarios can a hole and a vertical asymptote occur in the same rational function?