Math miscellaneousHard

Question

is defined in [-5, 5] as f(x) = x if x is rational and = - x is irrational. Then

Options

A.f(x) is continuous at every x, except x = 0
B.f(x) is discontinuous at every x, except x = 0
C.f(x) is continuous everywhere
D.f(x) is discontinuous everywhere

Solution

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