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Let f"":""RvecR be a function defined...

Let `f"":""RvecR` be a function defined by `f(x)""=""M in""{x""+""1,""|x|""+""1}` . Then which of the following is true? (1) `f(x)geq1""for""a l l""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`

A

f(x) is differentiable everywhere

B

f(x) is not differentiable at x = 0

C

f(x) `ge` 1 for all x `epsilon` R

D

f(x) is not differentiable at x = 1

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A
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