110functiondef - function Examples domainrange Problem...

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Math 110 FS 2008 CH. 3.1-3.2 Lectures #8-#9 (part). Definition of a function. Graphs. Piecewise-defined functions. Definition of a Function. Examples . Functions may be defined by formula, by graph, by table, by description. 1 A function is a rule (process or method) that produces a correspondence between two sets of elements such that to each element in the first set there corresponds one and only one element in the second set. The first set is called the domain , and the second set is called the range.
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Math 110 FS 2008 CH. 3.1-3.2 Lectures #8-#9 (part). Definition of a function. Graphs. Piecewise-defined functions. Functions defined by equations. We will consider only the case when D and R are sets of real numbers. 2 Definition . If in an equation in two variables, for each value of one variable we get exactly one corresponding value of another variable, then the equation defines a function. Terminology. Independent variable – dependant variable Input – output Argument – function Function notation. ( 29 y f x = . f is a symbol for the rule; ( 29 f x represents the element in the Range of f corresponding to x in the Domain of f.
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