Functions – (15 - 2)
Functions – (15 – 2a)
Example – (15 - 3)
Solution – (15 – 3a)
Solution – (15 – 3b)
Solution – (15 – 3c)
Function – (15 - 5)
Remarks – (15 – 5a)
Arrow Diagram of a Function – (15 - 6)
Example – (15 – 6a)
Example – (15 – 6b)
Nonfunction – (15 - 7)
Range of a Function – (15 - 8)
Remarks – (15 – 8a)
Exercise – (15 - 9)
Exercise – (15 – 9a)
Solution – (15 – 9b)
Graph of a Function – (11 - 11)
Graph of a Function – (15 – 11a)
Graph of a Function – (15 – 11b)
Vertical Line Test – (15 - 12)
Example – (15 - 13)
Solution – (15 – 13a)
Solution – (15 – 13b)
Exercise – (15 - 15)
Exercise – (15 – 15a)
Exercise – (15 – 15b)
Exercise – (15 - 17)
Exercise – (15 – 17a)
Exercise – (15 – 17b)
Exercise – (15 - 18)
Solution – (15 – 18a)
Functions Not Well Defined – (15 - 20)
Solution – (15 – 20a)
Solution – (15 – 20b)
Exercise – (15 - 21)
Solution – (15 – 21a)
Solution – (15 - 22)
Binary Operations – (15 - 28)
Example – (15 – 28a)
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Lecture 12

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Lecture 12

  1. 1. Functions – (15 - 2)
  2. 2. Functions – (15 – 2a)
  3. 3. Example – (15 - 3)
  4. 4. Solution – (15 – 3a)
  5. 5. Solution – (15 – 3b)
  6. 6. Solution – (15 – 3c)
  7. 7. Function – (15 - 5)
  8. 8. Remarks – (15 – 5a)
  9. 9. Arrow Diagram of a Function – (15 - 6)
  10. 10. Example – (15 – 6a)
  11. 11. Example – (15 – 6b)
  12. 12. Nonfunction – (15 - 7)
  13. 13. Range of a Function – (15 - 8)
  14. 14. Remarks – (15 – 8a)
  15. 15. Exercise – (15 - 9)
  16. 16. Exercise – (15 – 9a)
  17. 17. Solution – (15 – 9b)
  18. 18. Graph of a Function – (11 - 11)
  19. 19. Graph of a Function – (15 – 11a)
  20. 20. Graph of a Function – (15 – 11b)
  21. 21. Vertical Line Test – (15 - 12)
  22. 22. Example – (15 - 13)
  23. 23. Solution – (15 – 13a)
  24. 24. Solution – (15 – 13b)
  25. 25. Exercise – (15 - 15)
  26. 26. Exercise – (15 – 15a)
  27. 27. Exercise – (15 – 15b)
  28. 28. Exercise – (15 - 17)
  29. 29. Exercise – (15 – 17a)
  30. 30. Exercise – (15 – 17b)
  31. 31. Exercise – (15 - 18)
  32. 32. Solution – (15 – 18a)
  33. 33. Functions Not Well Defined – (15 - 20)
  34. 34. Solution – (15 – 20a)
  35. 35. Solution – (15 – 20b)
  36. 36. Exercise – (15 - 21)
  37. 37. Solution – (15 – 21a)
  38. 38. Solution – (15 - 22)
  39. 39. Binary Operations – (15 - 28)
  40. 40. Example – (15 – 28a)

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