Introdução as equações funcionais com abordagem no ensino médio

Abstract

The present study has os its theme the functional equations, where we will present the solution of some problems, ways to solve these problems and relations with other sub- jects. In which the objective of the study is to analyze the functional equations of one and two variables making a relationship with concepts seen in basic education. For the construction of this work, some materials were gathered in articles and books that hel- ped in the elaboration of this project, thus being a bibliographical research. For a better understanding of the subject it is very important to know some preliminary concepts, for this reason some properties and relations of equations and functions were presen- ted. The subject is presented by analyzing some aspects of the historical context, where the main mathematicians in this área and their respective works that started the study of functional equations were presented. In order to have a better understanding of the subject, we present some examples with their solutions, relationships with high school content and relationships with other subjects such as Diophantine equations and multiplicative functions. Finally, we can see that this content can be applied in basic education