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Let f : R to R be a function such that ...

Let ` f : R to R` be a function such that
`f(x+y) = f(x)+f(y),Aax, y in R.` If f (x) is differentiable at x = 0, then

A

`f(x)` is differentiable only in a finite interval containing zero

B

`f(x)` is continous !V x in R`

C

`f(x)` is constant !V x in R`

D

`f(x)` is differentiable except at finitely many points

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