MACM 101 Lecture 16: Lecture 16 Part 1_ Functions
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21 Dec 2018
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In many instances we assign to each element of a set a particular element of a second set. For example, assign rooms to people in a hotel. Or we may assign a grade to each student from a class. What we get is a set of pairs (person, door) or (student, grade), that is, a relation, but a very particular one. A relation r from a to b is called a function from a to b, if for every a a there is exactly one b b such that (a,b) r. (also mappings, transformations) We use f,g,h to denote functions f: a b f(a) = b f(rodriguez) = a. Consider the function from the set people to people: f(a) = b if b is the father of a. Let f: a b be a function from a to b. Then a is called the domain of f, and b is called the codomain of f.