Algebra 91 - Rational Functions and Vertical Asymptotes

This lecture by Professor Von Schmoohawk introduces rational functions, which are ratios of polynomial functions. It covers graphing these functions, focusing on vertical asymptotes and their impact on the domain. The lecture explains how to identify vertical asymptotes by setting the denominator to zero and discusses cases with multiple asymptotes. It also explores conditions where rational functions have no vertical asymptotes, such as when the denominator is constant or has no real zeros. Finally, it examines how the numerator affects graph intersections with the X-axis.

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