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Functions: Input & Output (Dynamic & Modifiable)

Functions: Input & Output (Dynamic & Modifiable)
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2017-03-15 23:03
VectorFunctionTransformation
This example demonstrates the relationship between function input and output, focusing on core function concepts. Using GeoGebra commands such as Point, FitPoly, Dilate, and Vector, the function graph can be dynamically adjusted to help understand function transformations and vector concepts. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(x = -5) → B
  2. Point(x = -3) → C
  3. Point(x = -1) → D
  4. Point(x = 1) → E
  5. Point(x = 3) → F
  6. Point(x = 5) → G
  7. FitPoly({B, C, D, E, F, G}, 5) → f
  8. Dilate(H, If[0 < b ≤ 1, 1 - b, 0], A) → H'
  9. Vector(H, H') → u
  10. Dilate(A, If[1 < b ≤ 2, 2 - b, 0], I) → A'
  11. Vector(A, A') → v