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Exploring the Inverse of a Linear Function

Exploring the Inverse of a Linear Function
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2015-10-13 02:33
FunctionCoordinate Geometry
This example demonstrates how to graph the inverse of a function by reflecting its graph over the line y=x. It involves core math concepts like functions, inverse functions, linear functions, and symmetry. GeoGebra commands/objects used include objects f, f', g, g', a, h, h', b, c, d, i, e, j, k. Suitable for high school mathematics education to visually explain the geometric meaning of inverse functions.

GeoGebra Commands & Parameters

  1. f(x) = (2 * x) + 3
  2. f'(x) = (x - 3) / 2
  3. g(x) = (3 * x) + 1
  4. g'(x) = (x - 1) / 3
  5. Line a(-1, 1, 0)
  6. h(x) = (0.5 * x) + 1
  7. h'(x) = (2 * x) - 2
  8. Boolean b(false)
  9. Boolean c(false)
  10. Boolean d(false)
  11. Boolean i(false)
  12. Boolean e(false)
  13. Boolean j(false)
  14. Boolean k(false)