Subject:
Mathematics
Material Type:
Module
Provider:
Ohio Open Ed Collaborative
Tags:
  • Mathematics
  • Tmm0022
  • License:
    Creative Commons Attribution Non-Commercial
    Language:
    English
    Media Formats:
    Text/HTML

    Graphing Rational Functions

    Graphs of Rational Functions

    Use graphs to prepare the students for rational inequalities.

    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.