Question: 3) For each statement determine that if we need a function or a binary relation. What are the domain and range? If we need a
3) For each statement determine that if we need a function or a binary relation. What are the domain and range? If we need a function, is that one-to-one, onto, or bijective? If we need a relation, is that reflexive, anti-reflexive, symmetric, anti-symmetric, or transitive? a) On the set of real numbers 2 + 2 = 1. b) If is a real number and is an integer number: = 2 1 + c) On the set of real numbers = log2 d) On the set of real numbers 2 = 2
4) Which of the following are equivalence relations? If it is an equivalence relation, what are the equivalence classes? a) {(2, 2),(2, 3),(2, 4),(3, 2),(3, 3),(3, 4)} b) {(1, 1),(1, 2),(2, 1),(2, 2),(3, 3),(4, 4)}
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