Let be defined by

MATHEMATICS · Single correct · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

k: \mathbb{R}\to\mathbb{R}

be defined by

k(x)=\lfloor x \rfloor

. Identify the family to which

k

belongs. (a) Signum function (b) Modulus function (c) Greatest–integer function (d) Identity function