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Question

Mathematics Question on Relations and functions

Let f:RRf : R → R be a differentiable function that satisfies the relation f(x+y)=f(x)+f(y)1,x,yRf(x + y) = f(x) + f(y) – 1, ∀x, y ∈R. If f(0)=2f'(0) = 2, then f(2)|f(–2)| is equal to ___________.

Answer

The correct answer is 3