If a real valued function f(x) satisfies...

If a real valued function `f(x)` satisfies the equation `f(x +y)=f(x)+f (y)` for all `x,y in R` then `f(x)` is

f(x) is discontinuous `AAx`

`f(x)` is contiuous `AA` positive real x

f(x) is continuous `AA x`

None of these

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