1.1 - MATH 131-503 Fall 2015 1.1 c Wen Liu Chapter 1...

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MATH 131-503 Fall 20151.1c Wen LiuChapter 1 Functions and Models1.1 Four Ways to Represent a FunctionAfunctionfis a rule that assigns to each elementxin a setDexactly one element, calledf(x), in a setE.The setDis called thedomainof the function.Therangeoffis the set of all possible values off(x) asxvaries throughout the domain.The numberf(x) is thevalue offatxand is read “fofx”.A symbol that represents an arbitrary number in the domain of a functionfis called anindependent variable.A symbol that represents a number in the range offis called adependent variable.Examples:1. Arrow diagram: which of the followings are functions?2.The areaAof a circle depends on the radiusrof the circle.The rule that connectsrandAis given by the equationA=πr2. With each positive numberrthere is associated one value ofA, and we say thatAis a function ofr.ris the independent variable andAis the dependent variable.There are four possible ways to represent a function:
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