Let X ={ 1,2,3},Y ={ 1,2,3,4}, andZ ={ 1,2}. a. Dene a

Chapter 7, Problem 7.75

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Let X ={ 1,2,3},Y ={ 1,2,3,4}, andZ ={ 1,2}. a. Dene a function f: X Y that is one-to-one but not onto. b. Dene a function g: X Z that is onto but not oneto-one. c. Dene a function h: X X that is neither one-to-one nor onto. d. Dene a function k: X X that is one-to-one and onto but is not the identity function on X.

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