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Solving Quadratic Inequalities with Graphs

Solving Quadratic Inequalities with Graphs
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2016-04-12 08:42
FunctionInequalityGraphing
This example demonstrates solving quadratic inequalities by graphing. It involves core math concepts like quadratic functions, their graphs, and solution sets. Constructed using GeoGebra commands like Random, If, Segment, Point, and Textfield to create function graphs and inequality regions. Ideal for high school students and teachers for learning and practice.

GeoGebra Commands & Parameters

  1. Random(1, 5) → qq
  2. If(Random[1, 4] < 4, "+", "-") → asign
  3. If(p + qq ≟ 0, Random[1, 5], p + qq) → q
  4. Random(1, 5) → r
  5. Random(0, 1) → ineq
  6. Random(0, 1) → eq
  7. If(ineq ≟ 0, If[eq ≟ 0, "<", "≤"], If[eq ≟ 0, ">", "≥"]) → eqtext
  8. Segment(E, F) → c
  9. Point(c) → A
  10. Point(c) → B
  11. Textfield(pz) → InputBox1
  12. Textfield(qz) → InputBox2
  13. If(eq ≟ 0, "<", "≤") → regeq
  14. If(eq ≟ 0, ">", "≥") → regeq2
  15. Textfield(answ1) → InputBox3
  16. Textfield(answ2) → InputBox4
  17. If(pz ≟ p ∧ qz ≟ q ∨ pz ≟ q ∧ qz ≟ p, "✔", "X") → chk1
  18. If(eq ≟ 0 ∧ e ≟ false ∨ eq ≟ 1 ∧ e ≟ true, "✔", "X") → chk2
  19. If(asign ≟ "+" ∧ a ≟ true ∨ asign ≟ "-" ∧ a ≟ false, "✔", "X") → chk3
  20. If(ineq ≟ 1 ∧ b ≟ true ∨ ineq ≟ 0 ∧ b ≟ false, "✔", "X") → chk4
  21. If(asign ≟ "+" ∧ ineq ≟ 1 ∧ d ≟ false ∨ asign ≟ "+" ∧ ineq ≟ 0 ∧ d ≟ true ∨ asign ≟ "-" ∧ ineq ≟ 1 ∧ d ≟ true ∨ asign ≟ "-" ∧ ineq ≟ 0 ∧ d ≟ false, "✔", "X") → chk5
  22. If(answ1 ≟ p ∧ answ2 ≟ q, "✔", "X") → chk6