Answer
The provided equation is \[y=\frac{1}{2}\left| x \right|\]. The modulus function \[y=\left| x \right|\] is defined as:
\[\begin{align}
& y=x,x\ge 0 \\
& y=-x,x<0
\end{align}\]
Therefore, \[y=\frac{1}{2}\left| x \right|\] is defined as:
\[\begin{align}
& y=\frac{1}{2}x,x>0 \\
& y=-\frac{1}{2},x<0
\end{align}\]
Substitute the provided values in \[y=\frac{1}{2}\left| x \right|\].
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