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SOLVED: C. Determine, with justification, whether the following functions are injective, surjective, or bijective.(1) f : Z → Z, f(x) = x - 1 if x is odd, and f(x) = x 1 if x is even.(2) Let X be a non-empty set, and let f : P(X) → g|g : X → 0, 1 by f(A) := χA where χA(x) = 1 if x ∈ A, and χA(x) = 0 if x ∉ A is the characteristic function of A.(3) f : Z × Z → Z by f(m, n) = 2m 10n.
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