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# RELATIONS AND FUNCTIONS

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### RELATIONS AND FUNCTIONS

1. 1. Relations andfunctionsNicolas Nevarez
2. 2. Relations Whether we can say that a relation is a set of ordered pairs. If a and b are any two sets, r is a ratio of a to b if and only if r is a subset of a * bCopyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation .
3. 3. EXAMPLES (0;4)(0;6) A*B=(2;4)(2;6) (4;4) (4;6)Copyright 2008 PresentationFx.com | Redistribution Prohibited | Image © 2008 Thomas Brian | This text section may be deleted for presentation .
4. 4. CARTESIANPRODUCT FORMSThere are several ways torepresent the Cartesianproduct, I will explain severalways:Cartesian productCartesian diagramsagittal diagramTree DiagramCrosstab
5. 5. So I show better Second component (X;Y) First component
6. 6. Cartesian diagram This is one of the simplest there. You just have to locate ordered pairs in the Cartesian plane
7. 7. Demonstration
8. 8. Sagittal diagramThis is also a verysimple way to representthe ordered pairs iswhen the set isrepresented ingeometric and it isdistinguished by theordered pairs
9. 9. Demonstration
10. 10. Crosstab• En este gráfico se representan los pares ordenados en cuadro en el que los primeros dígitos van hacia abajo y los segundos van abajo
11. 11. Demonstration