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R E L A T I O N S

Relations & Functions. R E L A T I O N S. Relation - a set of one or more ordered pairs. A N D. F U N C T I O N S. Relations & Functions. R E L A T I O N S. A N D. F U N C T I O N S. Relations & Functions. R E L A T I O N S. A N D. F U N

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R E L A T I O N S

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  1. Relations & Functions R E L A T I O N S Relation - a set of one or more ordered pairs. A N D F U N C T I O N S

  2. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  3. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  4. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  5. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  6. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  7. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  8. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  9. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  10. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  11. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  12. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  13. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 2 maps to -3

  14. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 -3 maps to 7 7 -3

  15. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 -2 maps to -3 7 -3 -2

  16. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 5 maps to -5 7 -3 -2 5 -5

  17. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 0 maps to 5 7 -3 -2 5 -5 0 5

  18. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 Notice how each x value has ONLY ONE arrow that maps into the y values… 7 -3 -2 5 -5 0 5

  19. Relations & Functions R E L A T I O N S A N D F U N C T I O N S 2 -3 Notice how each x value has ONLY ONE arrow that maps into the y values… That is a Relation & Function 7 -3 -2 5 -5 0 5

  20. Relations & Functions R E L A T I O N S A N D F U N C T I O N S EXAMPLE : Here is a mapping of a relation ONLY…. 3 -1 If two arrows map from an x to separate y’s, it is a Relation only… 2 -3 4 1 0 -1 5

  21. Relations & Functions R E L A T I O N S When looking at graphs of ordered pairs or graphs in general, we will use the VERTICAL LINE TEST to test if a relation/graph is a function. If you draw a vertical line anywhere in the coordinate plane that passes thru two points of the graph, it IS NOT a function but a relation only… A N D F U N C T I O N S

  22. Relations & Functions R E L A T I O N S Example : Is the given graph a relation, function, or both ? A N D F U N C T I O N S

  23. Relations & Functions R E L A T I O N S Example : Is the given graph a relation, function, or both ? As you can see by the green vertical lines, none of them cut thru the graph more than once… A N D F U N C T I O N S

  24. Relations & Functions R E L A T I O N S Example : Is the given graph a relation, function, or both ? As you can see by the green vertical lines, none of them cut thru the graph more than once… So this is a relation & a function A N D F U N C T I O N S

  25. Relations & Functions R E L A T I O N S Example # 2 : Is the given graph a relation, function, or both ? A N D F U N C T I O N S

  26. Relations & Functions R E L A T I O N S Example # 2 : Is the given graph a relation, function, or both ? You only need to find one place where thr vertical line crosses more than one time… A N D F U N C T I O N S

  27. Relations & Functions R E L A T I O N S Example # 2 : Is the given graph a relation, function, or both ? You only need to find one place where thr vertical line crosses more than one time… This is a relation only… A N D F U N C T I O N S

  28. Relations & Functions R E L A T I O N S Example # 3 : Is the given graph a relation, function, or both ? A N D F U N C T I O N S

  29. Relations & Functions R E L A T I O N S Example # 3 : Is the given graph a relation, function, or both ? When the points are graphed like this, look to see if any vertical line has more than one point on it… A N D F U N C T I O N S

  30. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

  31. Relations & Functions R E L A T I O N S A N D F U N C T I O N S

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