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03-04-2024
Mathematics

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F maps (0,1) -> [0,1]. F(x)={0 if x is irrational and 1/q if x is rational with reduced form p/q, for p & q relatively prime integers. Which of the following is correct: Pick ONE option

A. F is continuous on its full domain

B. F is nowhere continuous

C. F is continuous on the irrationals but not on the rationals

D. F is continuous on the rationals but not on the irrationals

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