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ILL 1976 Problem 50

    Find a function f(x)f(x) defined for all real values of xx such that for all xx , f(x+2)−f(x)=x2+2x+4,f(x+ 2) - f(x) = x^2 + 2x + 4, and if x∈[0,2)x \in [0, 2) , then f(x)=x2.f(x) = x^2.

    Dataset text AI-MO AoPS. Quoted with source.

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