a. Define f: Z Z by the rule f(n)= 2n, for all integers
Chapter 7, Problem 10E(choose chapter or problem)
a. Define f: Z ? Z by the rule f(n)= 2n, for all integers n.(i) Is f one-to-one? Prove or give a counterexample.(ii) Is f onto? Prove or give a counterexample.________________b. Let 2Z denote the set of all even integers. That is, 2Z = {n ? Z | n = 2k, for some integer k}. Define h: Z ? 2Z by the rule h(n) = 2n, for all integers n. Is h onto? Prove or give a counterexample.
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