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Basic Concept of Function

Basic Concept of Function
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2020-05-28 14:30
FunctionTransformationGeometric Construction
This example illustrates the basic concept of functions. It involves core math concepts such as functions, numbers, and reflections. Using GeoGebra commands like If, Text, Corner, etc., it constructs function graphs and reflected shapes. Suitable for high school math education.

GeoGebra Commands & Parameters

  1. If(b > 0, "+", "-") → text1
  2. If(chi ≟ false, "Select the general term...", "選擇一個通項...") → text15
  3. If(chi ≟ false, "Select an input number...", "選擇一個輸入數字...") → text14
  4. Text(a + b) → out21
  5. Text((a * 2) + b) → out22
  6. Text((a * 3) + b) → out23
  7. Text((a * 4) + b) → out24
  8. Text((a * 5) + b) → out25
  9. Text((a * 6) + b) → out26
  10. Text((a * 7) + b) → out27
  11. Text((a * 8) + b) → out28
  12. Text((a * 9) + b) → out29
  13. Corner(1, 1) → Z
  14. Text(1 + b) → out41
  15. Text(4 + b) → out42
  16. Text(9 + b) → out43
  17. Text(16 + b) → out44
  18. Text(25 + b) → out45
  19. Text(36 + b) → out46
  20. Text(49 + b) → out47
  21. Text(64 + b) → out48
  22. Text(81 + b) → out49
  23. Text(a + b) → out51
  24. Text((3 * ((a * 3) + b))) → out53
  25. Text((2 * ((a * 2) + b))) → out52
  26. Text((4 * ((a * 4) + b))) → out54
  27. Text((5 * ((a * 5) + b))) → out55
  28. Text((6 * ((a * 6) + b))) → out56
  29. Text((7 * ((a * 7) + b))) → out57
  30. Text((8 * ((a * 8) + b))) → out58
  31. Text((9 * ((a * 9) + b))) → out59