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Sign function

From Mathematics Is A Science
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$$ f(x) = \begin{cases} -1 & \text{ if } x < 0 \\ 0 & \text{ if } x = 0 \\ 1 & \text{ if } x > 0 \end{cases} $$

Domain $f =(-\infty,\infty), f(0)= 0.$

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