After completing this section, students should be able to do the following.

  • Determine the domain of a rational function.
  • Simplify rational expressions.
  • Solve equations involving rational functions.
  • Solve inequalities involving rational functions.
  • Find vertical asymptotes of a rational function.
  • Find horizontal asymptotes of a rational function.
  • Find slant asymptotes of a rational function.
  • Sketch a rough graph of a rational function using asymptotes and intercepts.