Exponential and Logarithmic as Inverse Functions

Exponential and Logarithmic as Inverse Functions
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2016-07-18 21:55
This example demonstrates graphically that the logarithmic function is the inverse of the exponential function. It involves core math concepts like exponential functions, logarithmic functions, inverse functions, and function graphs. The construction uses GeoGebra commands/objects such as Point, Mirror, and Tangent. Suitable for high school mathematics teaching or self-study to understand the relationship between inverse functions and their graphical properties.

GeoGebra Commands & Parameters

  1. Point(f) → A
  2. Mirror(A, h) → A'
  3. Tangent(A, f) → i
  4. Tangent(A', g) → j