What does this graph look like?

Algebra Level 3

\[\large y = \min ( \, \color{green}{ \left|x \right|} \, , \, \color{red} {1 + \left| \left| x \right| + x \right|} \, , \, \color{blue}{2 + \left| \left|x \right| - x \right|} \, ) \]

On the interval \( [ -2, 4] \), what does the graph of \(y\) look like?

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