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Graphing Linear Inequalities by Tim Brzezinski

Graphing Linear Inequalities by Tim Brzezinski
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2023-05-24 21:04
FunctionInequalityGraphing
This example demonstrates how to graph linear inequalities using GeoGebra. Key mathematical concepts include linear functions and inequalities. Commands like Textfield, Mode, If are used to construct the graph of linear inequalities. Suitable for middle school and above students to learn the graphical representation of linear inequalities.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Textfield(c) → InputBox3
  4. Textfield(d) → InputBox4
  5. Textfield(e) → InputBox5
  6. Textfield(f) → InputBox6
  7. Textfield(g) → InputBox7
  8. Textfield(h) → InputBox8
  9. Textfield(i) → InputBox9
  10. Textfield(j) → InputBox10
  11. Mode(l1) → l2
  12. If(Length[l2] ≟ 0, "No digits repeat.", "Repeated digits exist.") → text4
  13. If(l ≟ 1, "≤", "≥") → text5
  14. If(l ≟ 1, y ≤ p(x), y ≥ p(x)) → m
  15. If(IsInRegion[k, m], "√", "X") → text6
  16. If(¬IsInRegion[A, m], "√", "X") → text7
  17. Textfield(n) → InputBox11
  18. Textfield(o) → InputBox12
  19. Textfield(r) → InputBox13
  20. Textfield(s) → InputBox14
  21. If(corr, "√", "X") → text8

AI Drawing Prompt Reference

Draw a graph of a linear inequality. First, input a linear function, such as y = 2x + 1. Then, determine the region direction based on the inequality type (≤ or ≥). Next, mark key points and use different symbols to indicate whether points are within the region. Finally, ensure the graph is clear, with labels for inequality parameters and region boundaries.
The prompt above was compiled from the original drawing commands and is for reference only.