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Let f:R->R be a function such that f(x+y...

Let `f:R->R` be a function such that `f(x+y)=f(x)+f(y),AA x, y in R.`

A

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

B

f(x) is continuous for all `x in R`

C

f'(x) is constant for all `x in R`

D

f(x) is differentiable except at finitely many points

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The correct Answer is:
B, C
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ARIHANT MATHS-CONTINUITY AND DIFFERENTIABILITY-Exercise (Questions Asked In Previous 13 Years Exam)
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