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3. For each of the piecewise-defined functions f, (i) determine whether f is 1-1; (ii) determine...

3. For each of the piecewise-defined functions f, (i) determine whether f is 1-1; (ii) determine whether f is onto. Prove your answers.

(a) f : R → R by f(x) = x^2 if x ≥ 0, 2x if x < 0.

(b) f : Z → Z by f(n) = n + 1 if n is even, 2n if n is odd.

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