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Exponential and Logarithmic Functions by Dr. Doug Davis, 3D

Exponential and Logarithmic Functions by Dr. Doug Davis, 3D
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2015-10-06 22:44
FunctionCalculusGraphing
This applet illustrates the graphs of exponential and logarithmic functions. Checking the boxes will show or hide the functions. Key math concepts include exponential and logarithmic functions and their graphs. GeoGebra commands used include objects, function graphs, and slider animations. Suitable for high school math education and learning.

GeoGebra Commands & Parameters

  1. Numeric b(2)
  2. f(x) = b^(x)
  3. Point A(0, 1)
  4. (1, b)
  5. (2, b^(2))
  6. (3, b^(3))
  7. (4, b^(4))
  8. (5, b^(5))
  9. (6, b^(6))
  10. (7, b^(7))
  11. (8, b^(8))
  12. (-1, 1 / b)
  13. (-2, 1 / b^(2))
  14. (-3, 1 / b^(3))
  15. (-4, 1 / b^(4))
  16. (9, b^(9))
  17. (10, b^(10))
  18. (11, b^(11))
  19. (12, b^(12))
  20. (13, b^(13))
  21. (14, b^(14))
  22. (15, b^(15))
  23. (-5, 1 / b^(5))
  24. (-6, 1 / b^(6))
  25. (-7, 1 / b^(7))
  26. (-8, 1 / b^(8))
  27. (-9, 1 / b^(9))
  28. (-10, 1 / b^(10))
  29. (-11, 1 / b^(11))
  30. (-12, 1 / b^(12))
  31. (-13, 1 / b^(13))
  32. (-14, 1 / b^(14))
  33. (-15, 1 / b^(15))
  34. Boolean ShowExpon(true)
  35. Boolean ShowLog(false)
  36. g(x) = log(b, x)
  37. Point H_1(1, 0)
  38. (b, 1)
  39. (b^(2), 2)
  40. (b^(3), 3)
  41. (b^(4), 4)
  42. (b^(5), 5)
  43. (b^(6), 6)
  44. (b^(7), 7)
  45. (b^(8), 8)
  46. (b^(9), 9)
  47. (b^(10), 10)
  48. (1 / b, -1)
  49. (1 / b^(2), -2)
  50. (1 / b^(3), -3)
  51. (1 / b^(4), -4)
  52. (1 / b^(5), -5)
  53. (1 / b^(6), -6)
  54. (1 / b^(7), -7)
  55. (1 / b^(8), -8)
  56. (1 / b^(9), -9)
  57. (1 / b^(10), -10)
  58. Line d(1, 0, -1)
  59. Line e(-1, 1, 0)
  60. h(x) = x^(b)