2.2, Functions - Notes

# 2.2, Functions - Notes - dependent variable (y). It is the...

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Slide 1 Functions College Algebra Section 2.2 Slide 2 Relation vs. Function A relation is any set of ordered pairs. A function is a relation in which, for each value of the first component of the ordered pairs, there is exactly one value of the second component. Slide 3 Descriptions of Functions Functions may be described using: Verbal descriptions Sets of Ordered Pairs Mappings Tables Graphs Function Notation

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Slide 4 Vertical Line Test If each vertical line intersects a graph in at most one point, then the graph is that of a function. Slide 5 Domain and Range The domain is the set of all values of the independent variable (x). It is the set of input values. The range is the set of all values of the

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Unformatted text preview: dependent variable (y). It is the set of output values. Slide 6 Example Slide 7 Example Slide 8 Agreement on Domain Unless specified otherwise, the domain of a relation is assumed to be all real numbers that produce real numbers when substituted for the independent variable. (i.e., You get a real number for an answer.) Slide 9 Find the Domain 5 2 ) ( + = x x x f 1 2 ) ( + = x x f 7 3 ) ( 2-= x x f Slide 10 Increasing, Decreasing, and Constant Functions Remember to give intervals as intervals of x . It is tempting to give values for y instead. All intervals should be open even though closed intervals are used in the text....
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## This note was uploaded on 01/12/2012 for the course MATH 1204 taught by Professor Duck during the Spring '08 term at NorthWest Arkansas Community College.

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2.2, Functions - Notes - dependent variable (y). It is the...

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