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Restricting Function Domain

Restricting Function Domain
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2019-02-23 20:54
FunctionCoordinate GeometryGraphing
This example demonstrates how to restrict the domain of a function using GeoGebra and observe the changes in its graph. Key math concepts include functions, domain, graph transformations, and reflections. Construction highlights involve commands/objects like Point, OrthogonalLine, CurveCartesian, Mirror, and Textfield. Suitable for high school mathematics education to understand the impact of domain restrictions on function graphs and the application of geometric transformations.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. OrthogonalLine(A, xAxis) → g
  4. OrthogonalLine(B, xAxis) → h
  5. CurveCartesian(t, f(t), t, x(A), x(B)) → a
  6. Mirror(a, i) → a'
  7. Mirror(B, i) → B'
  8. OrthogonalLine(B', yAxis) → j
  9. Mirror(A, i) → A'
  10. OrthogonalLine(A', yAxis) → k
  11. Textfield(f) → InputBox1