ILLUSTRATING-A-RELATION-AND-A-FUNCTION.pdf

For Academic Purposes only.

1. ILLUSTRATING A
RELATION AND A
FUNCTION

2. RELATION
•Define the relationship between
set of values
•Pairing of elements of one set to
the elements of another set

3. WAYS TO REPRESENT A RELATION
•ORDERED PAIRS
•MAPPING DIAGRAM
•TABLE OF VALUES
•GRAPHS
•RULE OR EQUATION

4. ORDERED PAIRS
•Ordered Pairs are generally written as (x , y),
where x is the x–x-coordinate and y is the
y-coordinate.

5. MAPPING DIAGRAM
•Thisshowshowtheelementsare
paired.Itconsistsoftwocolumns.The
firstcolumncontainsthex–values
andthesecondonecontainsthe
y–values.Arrowsareusedtoshow
therelationofthetwo.

7. TABLE OF VALUES
•Thetableofvaluesclearlydescribes
thebehaviorofyasthevalueofx
changes.
•Thiscanbedrawnhorizontallyor
vertically.

9. GRAPH

11. RULE OR EQUATION
•Thismethodisamathematical
statementdescribingtherelationof
thex-valuesandy-values.
•Youcanwriteitintermsofxorin
termsofy.

13. FUNCTION
•AFunctionisarelationhaving
uniquefirstelement.
•Aspecialtypeofrelationinwhich
everyelementinthedomainis
mappedorpairedtoexactlyone
elementintherange.

14. HOW TO VERIFY IF
THE GIVEN
RELATION IS A
FUNCTION OR NOT?

15. GIVEN ORDERED PAIRS
FUNCTION

16. GIVEN ORDERED PAIRS
NOT A FUNCTION

17. GIVEN ORDERED PAIRS
NOT A FUNCTION

18. GIVEN MAPPING DIAGRAMS
FUNCTION

19. GIVEN MAPPING DIAGRAMS
NOT A FUNCTION

20. GIVEN MAPPING DIAGRAMS
FUNCTION

21. GIVEN TABLE OF VALUES
NOT A FUNCTION

22. GIVEN TABLE OF VALUES
FUNCTION

23. GIVEN GRAPHS
VERTICAL LINE TEST
-IT IS USED TO DETERMINE IF THE GRAPH
IS A FUNCTION OR NOT.
-A VERTICAL LINE IS DRAWN PASSING
THROUGH THE GRAPH.

24. GIVEN GRAPHS
FUNCTION

25. GIVEN GRAPHS
FUNCTION

26. GIVEN GRAPHS
NOT A FUNCTION

27. GIVEN GRAPHS
NOT A FUNCTION

28. GIVEN RULE OR EQUATIONS
FUNCTION

29. GIVEN RULE OR EQUATIONS
NOT A FUNCTION

30. GIVEN RULE OR EQUATIONS
FUNCTION

31. PRACTICE
EXERCISE

32. FUNCTION OR NOT?
NOT A FUNCTION

33. FUNCTION OR NOT?
FUNCTION

34. FUNCTION OR NOT?
FUNCTION

35. FUNCTION OR NOT?
NOT A FUNCTION

36. FUNCTION OR NOT?
NOT A FUNCTION

37. FUNCTION OR NOT?
NOT A FUNCTION

38. FUNCTION OR NOT?
FUNCTION

39. FUNCTION OR NOT?
FUNCTION

40. FUNCTION OR NOT?
NOT A FUNCTION