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Open Middle: Rational Functions Graph (2)

Open Middle: Rational Functions Graph (2)
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2022-10-06 03:52
FunctionCoordinate GeometryGraphing
In collections Rational Functions
This example demonstrates how to draw rational function graphs by adjusting parameters and observing their behavior. Key math concepts include rational functions, function graphs, parameter effects, and equation solving. It uses GeoGebra commands like Textfield and If, along with text boxes and sliders, to input and display parameters. Suitable for high school mathematics teaching to understand the properties and transformations of rational functions.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(f) → InputBox5
  6. Textfield(g) → InputBox6
  7. Textfield(h) → InputBox7
  8. If(q(g) ≟ 0 ∧ r(g) ≟ 0, "√", "X") → text5
  9. If(r(f) ≟ 0 ∧ q(f) ≠ 0, "√", "X") → text6
  10. If(p(h) ≟ 0, "√", "X") → text7
  11. If(Length[Mode[l1]] ≟ 0, "AV's of all digits are different!", "AV's of some digits repeat.") → text8

AI Drawing Prompt Reference

Draw a graph of a rational function using two input boxes to set parameters. Display the function graph based on parameter values. Include axes and the function curve. Observe changes in the graph by adjusting parameters.
The prompt above was compiled from the original drawing commands and is for reference only.