FUNCTION1394632947302u403ue937373u93.pptx

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1. Functions and Relation

2. OBJECTIVES A. define functions and relations; B. illustrates functions through mapping, sets and graphs; and C. represent real – life situations using function.

3. FUNCTION a type of relation between two sets of elements in which each element in the first set there corresponds one and only one element in the second set.

4. RELATION Relation is allowed to have the object x in the first set to be related to more than one object in the second set .

5. The set of all input or X -values The set of all output or y-values DOMAIN RANGE

6. MAPPING SETS GRAPHS 3 TYPES OF ILLUSTRATING FUNCTION

7. MAPPING SETS GRAPHS

8. MAPPING

9. Determine if the mapping is FUNCTION or NOT FUNCTION

10. MAPPING SETS GRAPHS

11. MAPPING SETS GRAPHS

12. SETS {(2,3),(4,5),(5,6), (6,7)} 2 4 5 6  

13. Determine if the sets is Function or NOT Function {(3,3),(4,5),(5,5),(5,4)}

14. MAPPING SETS GRAPHS

15. MAPPING SETS GRAPHS

16. GRAPHS Vertical line test You will make an imaginary line that passes through the graph if it touches once , then it is a Function , but if it touches twice , then it is not a function

17. TELL WETHER IT IS A FUNCTION OR NOT A FUNCTION

18. 1 GRAPH 2 GRAPH 3 GRAPH

19. PROVIDE AN EXAMPLE OF A FUNCTIONS THAT REPRESENT IN REAL LIFE SITUATION

20. EXAMPLE SHADOW The length of the shadow along the floor is the function of its height

21. EXAMPLE Driving a Car Your location is the function of its time

22. Instruction: Tell whether you agree or disagree about the statement and why? For ten (10) points: All functions are relations, but not all relations are function.

23. THANK YOU

24. QUIZ Function and Relation