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Inverse Function of Exponential Function

Inverse Function of Exponential Function
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2017-10-23 19:06
FunctionCoordinate GeometryGraphing
This example demonstrates the relationship and properties between an exponential function and its inverse (logarithmic function), focusing on graph symmetry and key characteristics. Core math concepts include exponential functions, logarithmic functions, inverse function definitions, and graph symmetry. GeoGebra commands like f_1, f, A2-A9, B2-B9, liste1, A, B, C, D, E, F, G, H, liste2 are used to plot the functions and key points. Suitable for high school mathematics education to understand the geometric meaning and properties of inverse functions.

GeoGebra Commands & Parameters

  1. f_1(x) = 3^(x)
  2. f_1
  3. Numeric A2(-4)
  4. Numeric A3(-3)
  5. Numeric A4(-1)
  6. -1 / 2
  7. Numeric A6(0)
  8. 1 / 2
  9. Numeric A8(2)
  10. Numeric A9(3)
  11. f_1(-4)
  12. f_1(-3)
  13. f_1(-1)
  14. f_1(-1 / 2)
  15. f_1(0)
  16. f_1(1 / 2)
  17. f_1(2)
  18. f_1(3)
  19. {}
  20. (A2, B2)
  21. (A3, B3)
  22. (A4, B4)
  23. (A5, B5)
  24. (A6, B6)
  25. (A7, B7)
  26. (A8, B8)
  27. (A9, B9)
  28. {A, B, C, D, E, F, G, H}