chap2Function - [Part 3 FUNCTIONS Semester(1 2015/2016 1...

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FUNCTIONS Semester (1) : 2015/2016 [Part 3] 1
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FUNCTION Let X and Y are nonempty sets. A function ( f ) from X to Y is a relation from X to Y having a properties: o The domain of f is X o If ( x,y ), ( x,y’ ) f , then y =y 2
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Relations vs Functions 3
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Relations vs Functions 4
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Domain, Co-domain, Range A function from X to Y is denoted, f : X Y The domain of f is the set X . The set Y is called the co-domain or target of f . The set { y | ( x , y ) f } is called the range . 5
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Example Given the relation, f = { (1, a ), (2, b ), (3, a ) } from X = { 1, 2, 3 } to Y = { a , b , c } is a function from X to Y . State the domain and range. Solution: The domain of f is X The range of f is { a, b } 6
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Example (cont.) 7
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Example 8
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Example 9
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