Mathematics

Mathematics

Problem

The function s(x)s(x) is defined by s(x)={−1,x<00,x=01,x>0s(x)=\begin{cases}-1,& x<0\\0,& x=0\\1,& x>0\end{cases} Which parent function does s(x)s(x) represent? a) Modulus function ∣x∣|x| b) Unit step (Heaviside) function u(x)u(x) c) Signum function sgn⁡(x)\operatorname{sgn}(x) d) Greatest integer (floor) function ⌊x⌋\lfloor x \rfloor

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