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Section 2.1

# Section 2.1 - Section 2.1 Functions and Their...

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Section 2.1 Functions and Their Representations 1

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Definition of a Function A function is a correspondence between a first set called the domain , and a second set called the range , such that each member of the domain corresponds to exactly one member of the range. Example: Each person corresponds to his or her birthday. Even though some people share the same birthday, each person has only one birthday. 2
Domain and Range The domain is the set of all x values (independent variable) The range is the set of all y values (dependent variable) Domain (input) x value Range (output) y = f(x) 3

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Vertical Line Test If it is possible for a vertical line to cross a graph more than once, then the graph is not the graph of a function. Why is this true? 4
Determine whether each of the following is the graph of a function. What are some other graphs you have studied that are functions? 5

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Determine whether S is a function. ( 29 ( 29 ( 29 { } 1) 2,3 , 4,5 , 5,5 S = 2) S is given by the table.
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