If a function f: R \\toR satisfy the equation f(x+y)=f(x)+f(y), \\forall x, y and the function f(x) is continuous at x=0 , then

Correct Answer is : f(x) is continuous for all x

f(x) is continuous for all positive real values of x

BITSAT 2017 Slot 2 Solved Paper

Section: Mathematics

Question : 126 of 150

Marks: +1, -0

If a function f:R→R satisfy the equation f(x+y)=f(x)+f(y),∀x,y and the function f(x) is continuous at x=0 , then

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