Find the Equation of a Rational Function from a graph

In this example, we are given the graph of a rational function and use it to find zeros/roots/x-intercepts, determine if they touch or cross, the multiplicity of their factors, vertical asymptotes, determine if they stay on the same side of the x-axis or cross to the other side of the x-axis, the multiplicity of their factors, the horizontal asymptote, the y-intercept, and a scalar multiple for the function. This video contains examples that are from Algebra and Trigonometry, 1st ed, by Abramson, Belloit, Falduto, Gross, Lippman et al. It is an open-source textbook from OpenStax that you may download for free at https://openstax.org/details/books/algebra-and-trigonometry. The text is licensed under the Creative Commons Attribution license. https://creativecommons.org/licenses/by/4.0/