If `f(x) = [x] , 0 – InterviewSolution

1.	If `f(x) = [x] , 0
Answer» `f(-x)={([-x]",",0 le {-x}lt0.5),([-x]+1",",0.5 lt {-x} lt1):}` `={([-x]",",{-x}=0),([-x]",",0 lt {-x} lt 0.5),([-x]+1",",0.5 lt {-x} lt1):}` `={(-[x]",",{x}=0),(-1-[x]",",0 lt 1-{x} lt 0.5),(-1-[x]+1",",0.5 lt 1-{x} lt1):}` `={(-[x]",",{x}=0),(-1-[x]",",0.5 lt {x} lt 1),(-[x]",",0 lt {x} lt0.5):}` `={(-[x]",",0 le{x}lt0.5),(-1-[x]",",0.5 lt {x} lt 1):}` `= -f(x)`

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