Graphing Rational Functions

Graphs of Rational Functions

Information obtained about the asymptotes and zeros of a rational function from the previous section would be helpful in drawing the graph of a rational function quickly.

Review:

  • Singular points of a rational function
  • Behavior of a rational function around a singular point
  • End-behavior of a rational function
  • Vertical, horizontal and slant/curve asymptotes
  • Zeros of a rational function

Learning Objectives

  • Use the information about the asymptotes and zeros to draw the graph of a rational function
  • Identify points of intersection of the graph and horizontal asymptote
  • Determine the intercepts of the graph
  • Find intervals over which the rational function is negative valued or positive valued.
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