Let f(x) = { [x], for -2 <= x <= -1/2 , ...

Let f(x) = { [x], for `-2 <= x <= -1/2` , `2x^2 -1` for `-1/2 <= x <=2` and `g(x) = f(|x|) + |f(x)|` .Check the continuity and differentiability of g(x) in (-2, 2).

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