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4: Rational Functions

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    • 4.1: Introduction to Rational Functions
      If we add, subtract or multiply polynomial functions according to the function arithmetic rules defined in previously, we will produce another polynomial function. If, on the other hand, we divide two polynomial functions, the result may not be a polynomial. In this chapter we study rational functions - functions which are ratios of polynomials.
    • 4.2: Graphs of Rational Functions
      In this section, we take a closer look at graphing rational functions. Previously, we learned that the graphs of rational functions may have holes in them and could have vertical, horizontal and slant asymptotes.
    • 4.3: Rational Inequalities and Applications
      In this section, we solve equations and inequalities involving rational functions and explore associated application problems. Our first example showcases the critical difference in procedure between solving a rational equation and a rational inequality.

    This page titled 4: Rational Functions is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by Carl Stitz & Jeff Zeager via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is available upon request.