Let . For which interval of is…

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

Problem

Let g(x)=⌊x⌋+sgn⁡(x)g(x)=\lfloor x\rfloor+\operatorname{sgn}(x). For which interval of xx is g(x)=−2g(x)=-2? (a) [−2,−1)[-2,-1) (b) [−3,−2)[-3,-2) (c) [−1,0)[-1,0) (d) (−1,0](-1,0]

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