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Representing Relations By Ajhane Foster And MarTricesa Carter

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Recall that a relation is a set of Ordered Pairs. A relation can also be represented by a table, a graph or a mapping. A Mapping illustrates how each how each element of the domain is paired with an element of range.

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Ordered pairs (1,2) (-2,3) (0,-3) xY 12 -23 0-3 Example 1

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Mapping for example 1. X y

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Explanation Table- list the x coordinates in the first column and the corresponding y coordinates in the second column. Graph- graph each ordered pair on a coordinate plane. Mapping-list the x values in the set x and the y values in set y. draw arrows from the x values in x to the corresponding y values

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Domain & Range When writing the elements of the domain in range, if a value is repeated, you need to list it only once. Domain in range

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Inverse relation Relation notice that both 2 and 3 in the domain paired with -4 in the range {(2,-4),(3,-4),(5,- 7),(6,-8)} Inverse- exchange x and y in each ordered pair to write the inverse relation {(-4,2,(-4,3),(-7,5),(- 8,6)} Example 2

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Graphing Relations Examples. (Mapping, Graphing, & Tables ) {(5,-2), (8,3), (-7,1)} x y 5-2 83 -71 example3 5 8 -7 -2 3 1

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Continued 23 4 33 2 X Y example4 {(2,3),(4,-1),(3,3),(- 1,2)} 3 2 4 3 3 3 2

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continued {(8,3),(5,-2),(-7,1)} 83 5-2 -71 X Y Example 5

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{(4,3),(3,2),(-6,6),(-6,8)} 43 32 -66 8 X Y Example 6

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{(4,2),(6,-1),(5,6)} 42 6 56 X Y example7

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{(3,4),(6,4),(1,-2),(4,-2)} 34 64 1-2 4 X Y Example 8

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{(0,2),(0,6),(-5,1),(1,9)} 02 06 -51 19 X Y Example 9

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Try to map this one.. By yourself. {(1,2),(0,3),(-4,2)} 12 03 -42 X Y Example 10

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Links http://www.wiziq.com/tutorial/694-Representing- Relationshttp://www.wiziq.com/tutorial/694-Representing- Relations http://ali.cmi.ac.in/icla2009/slides/jan07/alogic/14 00.pdfhttp://ali.cmi.ac.in/icla2009/slides/jan07/alogic/14 00.pdf http://www.nutshellmath.com/textbooks_glossary _demos/demos_content/prealg_relations_and_f unctions.htmlhttp://www.nutshellmath.com/textbooks_glossary _demos/demos_content/prealg_relations_and_f unctions.html http://www.glencoe.com/sec/math/t_resources/k eyconcepts/pdfs/pa03kc_lesson01.pdfhttp://www.glencoe.com/sec/math/t_resources/k eyconcepts/pdfs/pa03kc_lesson01.pdf

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