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Linear Function Explorer by Audrey McLaren

Linear Function Explorer by Audrey McLaren
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2013-11-06 21:24
FunctionCoordinate GeometrySlider Animation
In collections Students' linear functions
This is a linear function explorer created by a student. It demonstrates the basic properties of linear functions, including the concepts of slope and y-intercept. By adjusting parameters, you can observe changes in the linear function graph. The construction uses GeoGebra commands such as slider animation, function graphing, and geometric construction. Suitable for middle school and above students to learn linear equations.

GeoGebra Commands & Parameters

  1. Numeric a(1.2)
  2. Numeric k(0.8)
  3. y = a * x + k
  4. Numeric t(4.5)
  5. a * t
  6. (t, at + k)
  7. ((-k) / a, 0)
  8. (0, k)
  9. a * x + k ≤ 0
  10. Boolean d(true)
  11. a * x + k ≥ 0
  12. Boolean f(true)

AI Drawing Prompt Reference

Draw a linear function graph with adjustable slope and y-intercept parameters, showing changes in the function with varying parameters. Include a point with x-coordinate as parameter t and y-coordinate as the function value at that point. Plot the intersection points of the function with the x-axis and y-axis. Shade regions based on the function's inequality, using different colors for positive and negative areas.
The prompt above was compiled from the original drawing commands and is for reference only.