REGULAR RATIONAL FUNCTIONS AND THEIR APPLICATIONS

Abstract

In the high school mathmatics curriculum, the notion of rational functions is one of the basic concepts. There are many types of math problems about sequences, equalities, inequalities, equations, inequations, systems of equations, systems of inequations,… that are related to the rational functions. Therefore, it is really necessary to grasp the properties of the rational functions and to apply the distinctive character of the given functions in solving these types of maths problems. This paper presents a class of functions with special structures, which are regular rational functions. We have proved a fundamental theorem on the minimum values of regular rational functions, and then gived some applications of the regular rational functions in solving a number of common types of maths problems such as extrema, equalities, inequalities,…