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Investigate Logarithmic Function by Parameters

Investigate Logarithmic Function by Parameters
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2018-02-26 06:06
FunctionGraphing
This example demonstrates how to study the logarithmic function f(x) by varying the parameter a, showcasing the effects on the graph. Key math concepts include logarithmic function properties and parameter influence on function graphs. GeoGebra commands/objects like a, f, A2-A18, B2-B18, C2-C4 are used for constructing the graph and parameter control. Suitable for high school students learning function transformations and logarithmic function characteristics, ideal for classroom instruction or self-exploration.

GeoGebra Commands & Parameters

  1. Numeric a(0.7)
  2. f(x) = log(a, x)
  3. 0.1
  4. 0.2
  5. Numeric A4(0.30000000000000004)
  6. Numeric A5(0.4000000000000001)
  7. Numeric A6(0.5000000000000001)
  8. Numeric A7(0.6000000000000001)
  9. Numeric A8(0.7000000000000001)
  10. Numeric A9(0.8)
  11. Numeric A10(0.9)
  12. Numeric A11(1)
  13. 1.5
  14. 2
  15. 2.5
  16. 3
  17. 5
  18. 10
  19. 15
  20. f(A2)
  21. f(A3)
  22. f(A4)
  23. f(A5)
  24. f(A6)
  25. f(A7)
  26. f(A8)
  27. f(A9)
  28. f(A10)
  29. f(A11)
  30. f(A12)
  31. f(A13)
  32. f(A14)
  33. f(A15)
  34. f(A16)
  35. f(A17)
  36. f(A18)
  37. (A2, B2)
  38. (A3, B3)
  39. (A4, B4)
  40. (A5, B5)
  41. (A6, B6)
  42. (A7, B7)
  43. (A8, B8)
  44. (A9, B9)
  45. (A10, B10)
  46. (A11, B11)
  47. (A12, B12)
  48. (A13, B13)
  49. (A14, B14)
  50. (A15, B15)
  51. (A16, B16)
  52. (A17, B17)
  53. (A18, B18)
  54. Boolean b(true)