9-19-2023 Chapter 4 Part 3

Class Notes

Topics Covered:

  • Domain of a rational function: Interval notation

  • Finding the asymptotes of a rational function: Constant over linear

  • Finding the asymptotes of a rational function: Linear over linear

  • Finding horizontal and vertical asymptotes of a rational function: Quadratic numerator or denominator

  • Graphing a rational function: Constant over linear

  • Graphing a rational function: Linear over linear

  • Matching graphs with rational functions: Two vertical asymptotes

  • Writing the equation of a rational function given its graph

  • Finding x- and y-intercepts of the graph of a nonlinear equation

  • Finding the asymptotes of a rational function: Quadratic over linear

  • Graphing a rational function: Quadratic over linear

  • Graphing rational functions with holes

  • Graphing a rational function with more than one vertical asymptote