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Exploring Rational Function Graphs

Exploring Rational Function Graphs
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2022-10-06 03:36
FunctionLimitGraphing
In collections Rational Functions
This example demonstrates the graphs of rational functions. Key mathematical concepts include rational functions, limits, and asymptotes. By inputting different parameters, you can observe changes in the function's graph. The construction uses commands like Textfield, If, and InputBox, suitable for high school mathematics education.

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, "No digits repeat!", "You have repeated digits.") → text8

AI Drawing Prompt Reference

Create a graph demonstrating rational function images with input boxes for parameters a, b, c, d, f, g, h, displaying text based on parameter calculations, such as the presence of square roots or repeated digits, along with function graphs and asymptotes to observe the impact of parameter changes on the function's image.
The prompt above was compiled from the original drawing commands and is for reference only.