Find the range of the function given by .

MATHEMATICS · Subjective · AoPS · Mathematics · Special Functions · Special Functions

Problem

Find the range of the function h:R→Rh:\mathbb R \to \mathbb R given by h(x)=⌊x⌋+sgn⁡(x)h(x)=\lfloor x\rfloor + \operatorname{sgn}(x).

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