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.

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