One Chart, Four Graphs

One Chart, Four Graphs
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2015-04-10 00:57
This example demonstrates how logarithmic and exponential functions are related through a single chart displaying four different graphs. It involves core math concepts like logarithmic functions, exponential functions, and graphing techniques. Constructed using GeoGebra commands/objects: a, f, g, h, p, q, texto2, texto1, texto3, texto4. Suitable for high school mathematics students learning about function transformations and relationships between logarithmic and exponential functions.

GeoGebra Commands & Parameters

  1. Numeric a(1.8)
  2. f(x) = log(x) / log(a)
  3. g(x) = a^(x)
  4. h(x) = x
  5. p(x) = log(x) / log(1 / a)
  6. q(x) = a^(-x)