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Mapping Diagrams and Graphs of Functions by staffas broussard

Mapping Diagrams and Graphs of Functions by staffas broussard
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2015-12-21 23:40
FunctionTrigonometryCoordinate GeometryCalculusGeometric Construction
This example demonstrates the correspondence between mapping diagrams and function graphs, highlighting geometric properties and transformations. Core math concepts include functions, derivatives, trigonometric functions, complex numbers, similar triangles, and geometric transformations. Constructed using GeoGebra commands like Point, Derivative, Textfield, Vector, Segment, Line, Intersect, and Sequence. Ideal for high school and above students to visualize function behavior and transformations.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Derivative(f) → f'
  3. Textfield(tanL) → inputBox1
  4. Vector(x_1, y_1) → v
  5. Segment(f_x, F) → c
  6. Segment(E, F) → d
  7. Segment(A, x_1) → e
  8. Segment(B, y_1) → g
  9. Segment(B, y_1) → dy
  10. Line(x_1, y_1) → i
  11. Line(A, B) → k
  12. Intersect(i, k) → Focus
  13. Vector(A, B) → u
  14. Vector(x_1, C) → w
  15. Textfield(f) → inputBox2
  16. Vector(B, y_1) → b
  17. Vector(F, E) → h
  18. Sequence((0, x(Point[Element[CRITPT, k]])), k, 1, 5) → MDCP
  19. Sequence((0, x(Point[Element[CRITPT2, k]])), k, 1, 4) → MDCP2

AI Drawing Prompt Reference

Draw a mapping diagram and function graph to show the correspondence between them. Include an x-axis and a function graph, marking the origin and derivative. Add an input box for the function and use vectors to represent geometric properties and transformations. Draw line segments and triangles, labeling key points and intersections to highlight similar triangles and geometric transformations. Use sequence points to show mapping relationships and vectors for directions and transformations.
The prompt above was compiled from the original drawing commands and is for reference only.