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Exponential and Logarithmic Functions by Неверник

Exponential and Logarithmic Functions by Неверник
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2020-01-24 22:32
FunctionGeometric ConstructionGraphing
This example demonstrates the graphs and properties of exponential and logarithmic functions. It involves core math concepts like exponential functions, logarithmic functions, function graph transformations, and geometric centers. GeoGebra commands used include: a, f, g, b, f_1, g_1, h, text4, text3, text2, text1. Suitable for high school mathematics teaching to understand function graphs and properties.

GeoGebra Commands & Parameters

  1. Numeric a(2)
  2. f(x) = a^(x)
  3. g(x) = (1 / a)^(x)
  4. 1 / a
  5. f_1(x) = log(a, x)
  6. g_1(x) = log(1 / a, x)
  7. y = x

AI Drawing Prompt Reference

Draw a Cartesian coordinate plane with graphs of exponential and logarithmic functions. First, plot the exponential curve with base 2 and the exponential curve with base 1/2, which are symmetric about the y-axis. Then, plot the corresponding logarithmic curves with base 2 and base 1/2, symmetric about the x-axis. Finally, add the line y=x as a reference for symmetry between exponential and logarithmic functions. Label all curves clearly to show their basic properties.
The prompt above was compiled from the original drawing commands and is for reference only.