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Let f(x) = ⎩ ⎨ ⎧ ≤ ≤ − < ≤ − − 2 x 0 , 1 x 0 x 2 , 1 2 and g(x) = |f(x)| + f(|x|). Then, in the interval (–2, 2), g is :

1. non continuous
2. differentiable at all points
3. not differentiable at two points
4. not differentiable at one point

Correct answer: not differentiable at one point

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