A)    y={−x    if    x≥0x    if    x<0B)    y={x    if    x≥4−x    if    x<4C)    y={x+4    if    x−4≥0x−4    if    x−4<0D)    y={x+4    if    x+4≥0−x−4    if    x+4<0\begin{align}&A)\;\;y=\left\{\begin{matrix} -x\,\,\,\,\text{if}\,\,\,\,x\geq0\\x\,\,\,\,\text{if}\,\,\,\,x<0\end{matrix}\right. \\ &B)\;\;y=\left\{\begin{matrix} x\,\,\,\,\text{if}\,\,\,\,x\geq4\\-x\,\,\,\,\text{if}\,\,\,\,x<4\end{matrix}\right. \\ &C)\;\;y=\left\{\begin{matrix} x+4\,\,\,\,\text{if}\,\,\,\,x-4\geq0\\x-4\,\,\,\,\text{if}\,\,\,\,x-4<0\end{matrix}\right. \\ &D)\;\;y=\left\{\begin{matrix} x+4\,\,\,\,\text{if}\,\,\,\,x+4\geq0\\-x-4\,\,\,\,\text{if}\,\,\,\,x+4<0\end{matrix}\right.\end{align}

What does the absolute value function y=∣x+4∣y=|x+4| look like as a piecewise function?

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