a. Dene f:ZZ by the rule f (n) =2n, for all integers n.
Chapter 7, Problem 7.76(choose chapter or problem)
a. Dene f:ZZ 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}. Deneh :Z2Z by the rule h(n) =2n, for all integers n. Ish onto? Prove or give a counterexample.
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