The document discusses different ways to represent relations, including: 1) Arrow diagrams, which show mappings between elements of a domain and range using arrows. Relations can be one-to-one or many-to-one. 2) Tabular methods, which list the domain and range elements. 3) Graphical representations, where the domain and range elements are plotted on a graph. For a relation to be a function, a vertical line cannot pass through more than one point.

1. Project In Mathematics IV

2. What is a Relation?

3. It is any association between elements of one set The domain can’t be repeated so that it can be called a function Relation

4. Arrow Diagram Tabular Method Graphical Representation Different Ways of Expressing Relation

5. We write the elements from the domain on one side, and the elements from the range on the other, and we draw arrows to show that an element from the domain is mapped to the range. ARROW DIAGRAM

6. kinds of expressing the arrow diagram. -One to one -Many to one ARROW DIAGRAM

7. Loves Loves Bryan Zenith Paolo Ronalyn ONE TO ONE

8. In this diagram we illustrate that Bryan loves Zenith and Paolo loves Ronalyn. In the coordinates it can be this: (Bryan,Zenith) and (Paolo,Ronalyn) Where Bryan and Paolo are the domain while Zenith and Ronalyn are the range. ONE TO ONE

9. Loves Loves Bryan Zenith Paolo Ronalyn Loves Arjay Mary MANY TO ONE

10. In this diagram we illustrate that Bryan loves Zenith, Paolo loves Ronalyn again. You noticed that there are new Characters appeared on the diagram. And that is Arjay who loves Zenith, and Mary who loves herself. So the coordinates are: (Bryan, Zenith) (Paolo, Ronalyn) (Arjay, Zenith) (No one, Mary) MANY TO ONE

11. Reminder!: In writing an arrow diagram The x or domain should NOT Be repeated or else it will not be a function. While the y or range CAN be repeated. ARROW DIAGRAM

12. It is a set is represented by writing all the elements of the set, separated by commas and are enclosed within brackets { } TABULAR METHOD

13. By showing the relation is by making a graph. GRAPHICAL REPRESENTATION

14. When graphing a point you should know if that is a function. -Use the vertical lines that will travel in the path of the line. If the vertical line touches another line of the coordinates that will not be a Function. GRAPHICAL REPRESENTATION

15. For Example: GRAPHICAL REPRESENTATION

16. You’ve seen that the vertical line Passed through the line without touches another line. And can be called a function GRAPHICAL REPRESENTATION

17. -Just click the letter of the best answer! -No returning back! -Click only the Arrow button at the right side to next the slide. EVALUATION

18. Which of the following is not a way of expressing a relation? A. Tabular Method B. Arrow Diagram C. Table Method D. Graphing Representation EVALUATION

19. Your answer is correct! CONGRATULATIONS!

20. Your answer is wrong! Your such a LOSER! SORRY!

21. Which of the following are the kinds of expressing the Arrow Diagram so that it can be called a function? A. (One to One) and (One to many) B. (One to Many) and (Many to One) C. (One to One) and (Many to One) D. (No answer) and (No answer)

22. Your answer is correct! CONGRATULATIONS!

23. Your answer is wrong! Your such a LOSER! SORRY!

24. Which of the following relation is not a function? A. (2,3) and (2,3) B. (3,3) and (2,2) C. (4,3) and (2,4) D .(5,3) and (15,3)

25. Your answer is correct! CONGRATULATIONS!

26. Your answer is wrong! Your such a LOSER! SORRY!

27. Which of the following statements is true about Relation so that it can be called a function? A. Relation is a bond between a repeating domain and range to be called a function.. B. Relation is any association between one set C. Relation is a association between a line D . No answer

28. Your answer is correct! CONGRATULATIONS!

29. Your answer is wrong! Your such a LOSER! SORRY!

30. Which of the following relation is not a function? A. (Bryan,Zenith) and (Paolo, Ronalyn) B. (Bryan,Zenith) and (Arjay,Zenith) C. (Paolo,Mary) and (Bryan,Mary) D. (Paolo,Mary) and (Paolo,Zenith)

31. Your answer is correct! CONGRATULATIONS!

32. Your answer is wrong! Your such a LOSER! SORRY!

33. Last and the Hardest Question: INSTRUCTIONS: 1. Please CONCENTRATE 2. No turning BACK 3. Don’t be PRESSURED 4. Choose the BEST ANSWER!

34. A. YES B. NO DO LIKE OUR PRESENTATION?

35. CONGRATULATIONS!

36. Prooot! Your such a LOSER! SORRY!

37. THANK YOU!