Show that the Signum function f:R→R, given by f(x)=⎧⎪⎨⎪⎩1, – InterviewSolution

1.	Show that the Signum function f:R→R, given by f(x)=⎧⎪⎨⎪⎩1, if x>00, if x=0−1, if x<0 is neither one-one nor onto.
Answer» Show that the Signum function $f : R \to R,$ given by $f (x) = ⎧ ⎪ ⎨ ⎪ ⎩ \begin{matrix} 1, i f x > 0 0, i f x = 0 - 1, i f x < 0 \end{matrix}$ is neither one-one nor onto.

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