MA220Lesson2

MA220Lesson2 - MA 220, Lesson 2 Functions &...

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1 MA 220, Lesson 2 Functions & Addition/Subtraction Polynomials Algebra: Sections 3.6 and 5.2 Definition: A relation if any set of ordered pairs. The set of first components in the ordered pairs is called the domain of the relation. The set of second components is called the range of the relation. Relations may be represented as sets, tables, diagrams, graphs, or equations. Definition: A function is a relation in which no two ordered pairs have the same first components but different second components. Each element or component of the domain (input values) is paired to one and only one element or component of the range (output values). Example 1: Is each relation represented a function? Give the domain and range. a) {(9,81), (4,16), (5,25), ( 2,4), ( 6,36)}  Function? Domain: Range: b) x -3 4 12 9 y 2 -1 0 2 Function? Domain: Range: c) Function? DOMAIN RANGE d) Function? Domain: Range: 12 -1 5 3 -2 (3,-1) (1,-1) (-3,-3) 2 2
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2 e) 2 xy Function? Domain: Range: Function Notation: Functions can be ‘named’ by using letters. This ‘name’ can be used to write the function. For example; the function h represented by 2 2 y x x  can be written as 2 ( ) 2 h x x x . This type of notation is known as function notation . The element of the domain (the x ) is inside the parentheses and the result (the y ) is the matching element of the range.
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This note was uploaded on 01/19/2012 for the course MA 22000 taught by Professor Staff during the Spring '08 term at Purdue.

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MA220Lesson2 - MA 220, Lesson 2 Functions &...

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