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If f(x) = [x^2] + sqrt({x}^2, where [] a...

If `f(x) = [x^2] + sqrt({x}^2`, where [] and {.} denote the greatest integer and fractional part functions respectively,then

A

f(x) is continuous at all integral points

B

f(x) is continuous and differentiable at x = 0

C

`f(x) "is discontinuous" forall x in I-{1}`

D

`f(x) "is differentiable" forall x in I.`

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