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Mapping Diagram from Function Table Activity

Mapping Diagram from Function Table Activity
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2018-08-10 04:14
FunctionCoordinate GeometryGeometric Construction
This example demonstrates how to construct a mapping diagram from a function table, highlighting the connection between functions and geometric figures. Key mathematical concepts include coordinate geometry, function graphing, and mapping relationships. Construction involves using GeoGebra commands such as Point, Sequence, Line, and Intersect, along with objects like fnlist and P5. Suitable for high school students or math enthusiasts to understand the integration of functions and geometry, and to enhance geometric construction skills.

GeoGebra Commands & Parameters

  1. Point(y_{axis}) → P5
  2. Point(y_{axis}) → P9
  3. Point(y_{axis}) → P8
  4. Point(y_{axis}) → P7
  5. Point(y_{axis}) → P6
  6. Point(y_{axis}) → P4
  7. Point(y_{axis}) → P3
  8. Point(y_{axis}) → P2
  9. Point(y_{axis}) → P1
  10. SelectedElement(fnlist) → f
  11. Point(yAxis) → A
  12. If(d ≟ 1, y(A) - f(y(A)), 0) → align
  13. Vector(A, B) → u
  14. Textfield(f) → inputBox1
  15. Textfield(length) → inputBox4
  16. Sequence(t, t, y(A) + (n * Δx), y(A) - (n * Δx), (-Δx)) → t_*
  17. Zip((k, f(k)), k, t_*) → Graphpts
  18. Zip((0, k), k, t_*) → SourcePtsMD
  19. Zip(f(k), k, t_*) → ft_*
  20. Zip((2, (y_{zoom} * (k + align))), k, ft_*) → TargPts
  21. Zip(Vector[(0, k), (2, (y_{zoom} * (m + align)))], k, t_*, m, ft_*) → MD
  22. Vector(X_1, Y_1) → v
  23. Line(A, B) → h
  24. Intersect(g, h, (0, 0)) → C
  25. Zip(Vector[A, B], A, SourcePtsMD, B, TGTpts) → TGTarr
  26. TableText(Transpose[{Join[{{"x"}, t_*}], Join[{{f}, ft_*}]}], "|_cc") → text13
  27. SelectedElement(fnlist) → p
  28. Textfield(g) → inputBox2

AI Drawing Prompt Reference

Draw a mapping diagram showing the relationship between a function table and its graph. Include coordinate points, the function graph, and mapping lines connecting point pairs. The construction should start with coordinate points, then draw the function graph, and finally add mapping lines to connect the points.
The prompt above was compiled from the original drawing commands and is for reference only.