Comparing Logarithmic and Exponential Function Graphs

Comparing Logarithmic and Exponential Function Graphs
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2015-03-18 22:14
This example demonstrates the comparison of logarithmic and exponential function graphs. By adjusting parameters, you can observe the differences and characteristics of both functions. Key mathematical concepts include logarithmic and exponential functions and their graphs. The construction uses function and text objects in GeoGebra. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Numeric a(2.701)
  2. f(x) = lg(x) / lg(a)
  3. g(x) = a^(x)
  4. Line b(-1.0, 1.0, 0.0)
  5. Boolean c(true)
  6. Boolean d(true)
  7. Point A(1.0, 0.0)
  8. (a, 1)
  9. Point C(0.0, 1.0)
  10. (1, a)