Discrete Mathematics

1. Functions – (15 - 2)

2. Functions – (15 – 2a)

3. Example – (15 - 3)

4. Solution – (15 – 3a)

5. Solution – (15 – 3b)

6. Solution – (15 – 3c)

7. Function – (15 - 5)

8. Remarks – (15 – 5a)

9. Arrow Diagram of a Function – (15 - 6)

10. Example – (15 – 6a)

11. Example – (15 – 6b)

12. Nonfunction – (15 - 7)

13. Range of a Function – (15 - 8)

14. Remarks – (15 – 8a)

15. Exercise – (15 - 9)

16. Exercise – (15 – 9a)

17. Solution – (15 – 9b)

18. Graph of a Function – (11 - 11)

19. Graph of a Function – (15 – 11a)

20. Graph of a Function – (15 – 11b)

21. Vertical Line Test – (15 - 12)

22. Example – (15 - 13)

23. Solution – (15 – 13a)

24. Solution – (15 – 13b)

25. Exercise – (15 - 15)

26. Exercise – (15 – 15a)

27. Exercise – (15 – 15b)

28. Exercise – (15 - 17)

29. Exercise – (15 – 17a)

30. Exercise – (15 – 17b)

31. Exercise – (15 - 18)

32. Solution – (15 – 18a)

33. Functions Not Well Defined – (15 - 20)

34. Solution – (15 – 20a)

35. Solution – (15 – 20b)

36. Exercise – (15 - 21)

37. Solution – (15 – 21a)

38. Solution – (15 - 22)

39. Binary Operations – (15 - 28)

40. Example – (15 – 28a)