Mathematics 8, Module 10: Relations and Function COT 2 PP.pptx

Relations and Function

1. GOOD MORNING CLASS!!!

2. ILLUSTRATING RELATION AND FUNCTION

3. OBJECTIVE

4. ACTIVITY

5. Relation - is any set of ordered pairs represented as ( x,y ) where x is the abscissa and y is the ordinate. Domain -is the set of all first coordinates or the abscissas . Range -is the set of all second coordinates or ordinates.

6. Examples: 1. {(2,0), (3,1), (4,2)} Domain: {2, 3, 4} Range: {0, 1 , 2} 2 . {( 1,1), (1,2), (2,3)} Domain: {1, 2} Range: {1, 2 , 3 }

7. Examples: 3 . {(4,0), (4,1), (4,2)} Domain: { 4 } Range: {0, 1 , 2 } 4. { 1, 2, 3, 4, 5 } Not a relation because it is not a set of ordered pairs.

8. Function It is a relation in which every element in the domain ( x ) is mapped to exactly one element in the range ( y ). A set of ordered pair is a function if no distinct ordered pairs have equal abscissas or there are no repetition in the domain ( x ). NOTE: All functions are relations but not all relations are functions.

9. Examples: 1. {(0,2), (-1,3), (-2,4)} It is considered a function since no values of the abscissas are repeated. 2 . {(-2,2), (-2,3), (-2,4)} It is considered a relation but not a function since the value of the abscissa is repeated.

10. Another Examples:

11. Questions?

12. Summary When can we say that a relation is a function ? Do all relations can be considered as functions?

13. “It is not good for a man to be alone”, so we learned the story of creation. Man needs others for survival just as others need him. No one can live independently, apart from each other. Each one of us is related to other people in many ways.

14. Directions : Illustrate the range and domain of the given set of ordered pairs and determine if it is a function or not. Set of Ordered Pairs Domain Range Function or Not 1. {( 2,2), (3,3), (4,4)}       2. {( 1,8), (8,1), (2,3)}       3. {( 9,10), (8,10), (-9,10), (6,10)}       4. {( 3,2), (4,4), (5,6), (6,7)}       5. {( 9,5), (8,5), (7,10), (6,10)}      

15. GOOD JOB!!!

16. Summary Define your challenges Technological as well as personal Set realistic expectation Mastery is not achieved overnight Keep your eye on the goal Mentorship programs

17. Resources <Intranet site text here> <hyperlink here> <Additional reading material text here> <hyperlink here> This slide deck and related resources: <hyperlink here>

18. Questions?

19. Appendix