MathPlotAI Logo MathPlotAI

Polynomial & Rational Factors Matching Game

Polynomial & Rational Factors Matching Game
Loading the math board and drawing, please wait…
2019-09-16 07:06
FunctionCoordinate GeometryDerivativeGraphing
This example demonstrates the characteristics and properties of rational functions through a graph matching game. It involves core math concepts like function graphs, continuity, similar triangles, derivatives, and plane figures. GeoGebra commands and objects such as Random, Point, If, Sequence, and variables n, ng, m, A, B, C are used in construction. Suitable for high school and above learners to understand function properties and graph transformations.

GeoGebra Commands & Parameters

  1. Random(0, 4) → ng
  2. Point(xAxis) → A
  3. Point(xAxis) → B
  4. Point(xAxis) → C
  5. Point(xAxis) → D
  6. Point(xAxis) → E
  7. Point(xAxis) → F
  8. Point(xAxis) → G
  9. Point(xAxis) → H
  10. Point(xAxis) → I
  11. Point(xAxis) → J
  12. If(n > 0, Product[l1, n], 1) → fn
  13. If(m > 0, Product[l2, m], 1) → fd
  14. If(m ≟ 0, fn, f) → g
  15. If(ng > 0, Random[0, 4], Random[1, 4]) → mg
  16. Sequence(-5, 5) → l3
  17. If(ng ≟ 0, {1}, First[Shuffle[l3], ng]) → gnumf
  18. If(mg ≟ 0, {1}, First[Shuffle[l3], mg]) → gdenf
  19. If(mg > 0, Product[l4], 1) → gfd
  20. If(ng > 0, Product[l5], 1) → gfn

AI Drawing Prompt Reference

Create a graph with multiple points on the horizontal axis, used to construct rational function images. Randomly select points as roots and critical points of functions, generating polynomial and rational function graphs, highlighting continuity and similar triangles. Also, plot the derivative graphs and emphasize the transformations and properties of function images.
The prompt above was compiled from the original drawing commands and is for reference only.