Let be given by .

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Functions · Special Functions

Problem

Let

h:(-2,3.7]\to\mathbb{Z}

be given by

h(x)=\lfloor x \rfloor

. (i) List all distinct values taken by

h

on its domain. (ii) If

S=\{-1,0,1,2,3\}

, write

\text{Range}(h)\cap S