# A calculus problem by Ankit Nigam

Calculus Level 3

If y=$$f\left( x \right)$$ be a real function so that $$3f\left( \frac { x+y }{ 3 } \right) =f\left( x \right) \quad +\quad f\left( y \right)$$ for all x,y belongs to R and $$f\left( 0 \right)$$ = 2 =$$f^{ ' }\left( 0 \right)$$ , then the graph will be a

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