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MATH 1111 - College Algebra: 4.3 Rational Functions

4.3 Rational Functions

At the end of this section students will be able to:

  • Find the domain of a rational function
  • Determine the asymptotes of a rational function
  • Sketch the graph of a rational function

Required Reading

4.1 Introduction to Rational Functions

Stitz-Zeager College Algebra - pages 301-312

Stitz-Zeager College Algebra - pages 320-330


Practice Exercises

Stitz-Zeager College Algebra - page 314

Answers to practice exercises can be found on pages 316-318.

Stitz-Zeager College Algebra - page 333

Answers to practice exercises can be found on pages 335-339.

Supplemental Resources

Graphs of Rational Functions (tutorial): West Texas A&M University Virtual Math Lab (College Algebra Tutorial 40)


Finding Asymptotes:

Example 1


Example 2


Graphing Rational Functions:

Example 1

Example 2

Example 3