ZEROS OF THE DEGREE 2 FLOOR FUNCTION

ZEROS OF THE DEGREE 2 FLOOR FUNCTION

Authors

  • Élis Gardel UFT
  • Fernando Carvalho Universidade Federal do Tocantins
  • Eudes Costa Universidade Federal do Tocantins

DOI:

https://doi.org/10.34179/revisem.v9i4.20906

Abstract

In this work, we are interested in studying linear and quadratic functions involving the floor function, which we denote as floor functions of degrees 1 and 2, respectively. More specifically, we determine the set of their zeros, as well as establish necessary and sufficient conditions on the coefficients for such zeros to exist. We present a method that allows us to find and detail the solution sets, describing them as a finite union of subintervals of the real line.

Keywords: Floor function; Linear function; Quadratic function; Zeros.

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Published

2024-12-20

How to Cite

Gardel, Élis, Carvalho, F., & Costa, E. (2024). ZEROS OF THE DEGREE 2 FLOOR FUNCTION. Revista Sergipana De Matemática E Educação Matemática, 9(4), 45–66. https://doi.org/10.34179/revisem.v9i4.20906

Issue

Vol. 9 No. 4 (2024): Revista Sergipana de Matemática e Educação Matemática

Section

Mathematics

License

Copyright (c) 2024 Élis Gardel Mesquita, Fernando Carvalho, Eudes Costa

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

Creative Commons License

All articles published in this journal are licensed under the Creative Commons Attribution 4.0 International (CC-BY 4.0) license. This means that anyone can copy, distribute, remix, adapt, and use the articles for any purpose, including commercial use, as long as proper attribution is provided to the authors and the journal. For more information about this license, visit: https://creativecommons.org/licenses/by/4.0/