Which function has its derivative as sawtooth function?

Calculus Level 1

If f(x)=x{x}f'(x)=|x|-\{ x \}, then in which interval is the function f(x)f(x) decreasing?

Details:

{x}\{ x \} represents sawtooth function. That is, {x}=xx\{x\} = x - \lfloor x \rfloor

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