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Let f:[0,1]->[0,1] be a function defined...

Let `f:[0,1]->[0,1]` be a function defined as f(x) ={x, xis rational 1-x, x i irrational then which of the following is correct (A) f id bijective, invertible but not montonic function (B) f is discontinuos at exactly one point (C) f is continuous at exactly one point (D) f is differentiable nowhere

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