Playing with Graphs - 8

Calculus Level 4

Given that

\[\begin{cases} f (x) = x \\ g (x) = | 1 - f (x) | \\ h (x) = 2 - g (x) \\ L (x) = h (|x|) + | h (x) | \end{cases} \]

What is the number of points where \(L (x)\) is non-differentiable?


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