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Chapter 2 Notes - Florida International University

Chapter 2: functions : definition, notation A function is a rule (correspondence) that assigns to each element x of one set , say X, one and only one element y of another set, Y. The set X is called the domain of the function and the set of all elements of the set Y that are associated with some element of the set X is called the range of the function. For a function described by above diagram, the domain is the set X= {1,2,3,4} and the range is the set {a,b,c}. The elements of a set X are often called inputs and the elements of the set Y are called outputs and a function can be visualized as a machine, that takes x as an input and returns y as an output.

Chapter 2: 2.1 Functions: definition, notation A function is a rule (correspondence) that assigns to each element x of one set , say X, one and only one element y of another set, Y. The set X is called the domain of the function and the set of all elements of the set Y that are associated with some element of the set X is called the range of the function.

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