Show that the Signum Function \( f: \mathbf{R} \rightarrow \mathbf{...

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Show that the Signum Function \( f: \mathbf{R} \rightarrow \mathbf{R} \), given by :
\[
f(x)=\left\{\begin{array}{rll}
1, & \text { if } & x0 \\
0 ; & \text { if } & x=0 \\
-1 ; & \text { if } & x0
\end{array}\right.
\]
is neither one-one nor onto.
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