Let f : R to R be a function defined by ...

Let `f : R to R` be a function defined by `f (x) = min | (x +1), |x| + 1|.` Then which of the following is true ?

A

f (x) is differentiable everywhere

B

f (x) is not differentiable at x =0

C

`f (x) ge 1` for all real x

D

f (x) is not differentiable at x =1

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The correct Answer is:

A

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