Functional Relation

Calculus Level 3

Let f(x+y2)=f(x)+f(y)2f(\frac{x+y}{2} )=\frac{f(x) +f(y)}{2} for all real x,yx,y. If f(0)=1,f(0)=1f'(0) = -1, f(0) = 1 , find f(2)f(2) .

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