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Mystery Functions Part 7

Mystery Functions Part 7
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2014-06-16 23:51
FunctionCoordinate GeometryGeometric ConstructionSlider AnimationGraphing
This example engages users in guessing function expressions based on provided graphs. It involves core math concepts like function graphs, linear regression, parallelograms, and geometric mean. Constructed using GeoGebra commands like Textfield, Length, Corner, Segment, Midpoint, Polygon, Sequence, Sum, and objects such as f, A1, B1, C1, etc. Ideal for high school mathematics education, focusing on function graph recognition and comprehension.

GeoGebra Commands & Parameters

  1. Textfield(f) → functionInputBox
  2. Length(problems) → numProblems
  3. Corner(1) → cornerBL
  4. Corner(2) → cornerBR
  5. Corner(3) → cornerUR
  6. Corner(4) → cornerUL
  7. Segment(cornerUL, cornerBL) → sideL
  8. Segment(cornerUL, cornerUR) → sideU
  9. Segment(cornerUR, cornerBR) → sideR
  10. Segment(cornerBL, cornerBR) → sideB
  11. Midpoint(sideL) → midpointL
  12. Midpoint(sideU) → midpointU
  13. Midpoint(sideR) → midpointR
  14. Midpoint(sideB) → midpointB
  15. Polygon(midpointU, cornerUR, midpointR) → poly1, midpointr, midpointu, cornerur
  16. Sequence(f(i) - m(i), i, -10, 10) → differences
  17. Sum(isCorrect) → numCorrect
  18. Sequence((i, f(i)), i, -10, 10) → fPoints
  19. Sequence((i, m(i)), i, -10, 10) → mPoints

AI Drawing Prompt Reference

Draw a function graph and display a parallelogram formed by four corner points with diagonals and midpoints. Create a polygon above the parallelogram and show the difference points between the function graph and the linear regression line. Use a slider to control the function expression and indicate the number of correct guesses.
The prompt above was compiled from the original drawing commands and is for reference only.