Logarithm traced as inverse of exp(x)

Logarithm traced as inverse of exp(x)
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2015-11-18 09:26
This example demonstrates the relationship between the exponential function y=exp(x) and its inverse, the logarithmic function y=log(x), by tracing their graphs dynamically. It illustrates the symmetric property of inverse functions about the line y=x. Key math concepts include exponential functions, logarithmic functions, inverse function definitions, and graph symmetry. The construction uses GeoGebra objects: function f, parameters a and c, and points A and B. Suitable for high school mathematics teaching, exploring inverse function properties and graph transformations, or calculus discussions on function symmetry.

GeoGebra Commands & Parameters

  1. f(x) = ℯ^(x)
  2. Line a(-1.0, 1.0, 0.0)
  3. Numeric c(-1.75)
  4. (c, f(c))
  5. (f(c), c)