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## Main Question or Discussion Point

Is this function bijective ?

f: [0,1] --> [0,1] f(x) = x if x E [0,1] intersection Q

f(x) = 1-x if x E [0,1]\Q

f: [0,1] --> [0,1] f(x) = x if x E [0,1] intersection Q

f(x) = 1-x if x E [0,1]\Q