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Question

Mathematics Question on Differential Calculus

Let f : RR\R → \R be a function such that
20(x - y) ≤ f(x) - f(y) ≤ 20(x - y) + 2(x - y)2
for all x, y ∈ R\R and f(0) = 2. Then f(101) equals __________

Answer

The correct answer is 2022.