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Let f:R⃗->R be a function defined by f(x...

Let `f:R⃗->R` be a function defined by `f(x)=Min{x+1,|x|+1}` . Then which of the following is true? (1) `f(x) >= 1` for all `x in R` (2) `f(x)` is not differentiable at `x=1` (3) `f(x)` is differentiable everywhere (4) `f(x)` is not differentiable at `x=0`

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