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Logarithmic Function by Folens Publishers

Logarithmic Function by Folens Publishers
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2014-07-23 22:39
FunctionTrigonometryGraphing
This example demonstrates the graph and properties of a logarithmic function. Key mathematical concepts include logarithmic functions, function graphs, and their basic properties. By plotting the logarithmic function f(x) = log_a(x) and its inverse g(x) = a^x, and using GeoGebra commands such as `f, A, B, C, E, D, G, H, I, J, K, a, b`, the characteristics and properties of the logarithmic function are illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. f(x) = ld(x)
  2. (0.5, f(0.5))
  3. (1, f(1))
  4. (2, f(2))
  5. (4, f(4))
  6. (8, f(8))
  7. (16, f(16))
  8. g(x) = x
  9. h(x) = 2^(x)
  10. (-4, h(-4))
  11. (-2, h(-2))
  12. (0, h(0))
  13. (1, h(1))
  14. (2, h(2))
  15. Boolean a(false)
  16. Boolean b(false)

AI Drawing Prompt Reference

Plot the logarithmic function f(x) = log(x) and its inverse g(x) = 2^x. First, plot f(x) = log(x) and mark points (0.5, 1, 2, 4, 8, 16) on the x-axis, then connect these points. Next, plot g(x) = 2^x and mark points (-4, -2, 0, 1, 2) on the x-axis, then connect these points.
The prompt above was compiled from the original drawing commands and is for reference only.