- What is a relation? Please provide examples. - What is a function? How is a function different from a relation? Please provide examples. - What are some of the properties of relations? Can you provide examples of relations satisfying those properties? - What are some of the properties of functions? Can you provide examples of functions satisfying those properties? Note: you can consult Appendix A in its section A.4 for a discussion on relations and functions.
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What is a relation? A relation is a set of ordered pairs that relate two sets of elements. For example, the relation R = {(1,2), (2,3), (3,4)} relates the set of numbers {1,2,3} to the set of numbers {2,3,4}. Show more…
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a. Let’s discuss the differences between functions and relations: • Explain what distinguishes a function from other types of relations in general. • How do we determine whether a relation is a function from its description (for some types of description, this is straightforward; for others, it can be more difficult — do your best to describe the means we use in each case). • Give an example of a function, and of a relation that is not a function — and explain why this second example is not a function.
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