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Let f : R → R be a function defined by f(x) = Min {x + 1, |x| + 1}. Then which of the following is true ?
f(x) ≥ 1 for all x ∈ R
f(x) is not differentiable at x = 1
f(x) is differentiable everywhere
f(x) is not differentiable at x = 0
