Practice problem

Interpret Absolute Value Functions as Piecewise

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\begin{align} &A)\;\;y=\left\{\begin{matrix} -3x\,\,\,\,\text{if}\,\,\,\,x\geq0\\3x\,\,\,\,\text{if}\,\,\,\,x<0\end{matrix}\right. \\ &B)\;\;y=\left\{\begin{matrix} 3x\,\,\,\,\text{if}\,\,\,\,x\geq0\\-3x\,\,\,\,\text{if}\,\,\,\,x<0\end{matrix}\right. \\ &C)\;\;y=\left\{\begin{matrix} x+3\,\,\,\,\text{if}\,\,\,\,x\geq0\\x-3\,\,\,\,\text{if}\,\,\,\,x<0\end{matrix}\right. \\ &D)\;\;y=\left\{\begin{matrix} 3x\,\,\,\,\text{if}\,\,\,\,x\leq0\\-3x\,\,\,\,\text{if}\,\,\,\,x>0\end{matrix}\right.\end{align}

What does the absolute value function $y=|3x|$ look like as a piecewise function?