The function is defined by s(x)= cases -1,& x0 cases Which parent function does represent?

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

Problem

The function

s(x)

is defined by

s(x)=\begin{cases}-1,& x<0\\0,& x=0\\1,& x>0\end{cases}

Which parent function does

s(x)

represent? (a) Modulus function

|x|

(b) Unit step (Heaviside) function

u(x)

\operatorname{sgn}(x)

(d) Greatest integer (floor) function

\lfloor x \rfloor