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Polynomial and Rational Functions Quiz (GeoGebra Interactive)

Polynomial and Rational Functions Quiz (GeoGebra Interactive)
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2020-11-03 00:49
FunctionInequalityGraphing
In collections Grade 12 PreCalculus BC
This GeoGebra example is an interactive quiz designed to test students' understanding of polynomial and rational functions. It randomly generates function expressions and asks users to determine the degree, parity, factorization, and simplification of these functions. Core mathematical concepts include polynomial degree, factorization, rational function simplification, and even/odd function identification. The construction uses commands such as RandomElement, Shuffle, Textfield, InputBox, If, AreEqual, Expand, Factor, and Degree to create randomized questions and check answers. Suitable for high school or pre-university mathematics classes, this tool provides engaging practice for algebraic manipulation and function analysis.

GeoGebra Commands & Parameters

  1. Textfield(studc2) → InputBox4
  2. Textfield(studc1) → InputBox3
  3. RandomElement(r6list) → r6
  4. Random(1, 5) → r1
  5. Random(-5, -1) → r5
  6. Random(-5, -1) → r4
  7. Random(1, 5) → r3
  8. Random(1, 5) → r2
  9. Shuffle(rlist) → rshlist, {1, -1, -4, 3, 10, 2}
  10. Element(rshlist, 3) → rr3
  11. Element(rshlist, 2) → rr2
  12. Element(rshlist, 1) → rr1
  13. Element(rshlist, 4) → rr4
  14. Shuffle(listf) → listfshuffle, {(2 * x) + 1, ((x + 4) * (x - 3)), (((x - 1) * (x^(2) + 3)) * ((x + 4) * (x - 3))), (((x - 1) * (x + 1)) * (x + 4)), (((((x - 1) * (x + 1)) * (x - 1)) * (x + 4)) * (x^(2) + (2 * x) + 3)), (((x - 1) * (x + 1)) * x^(2 + 3)), (((x - 1) * (x + 1)) * (x^(2) + (2 * x) + 3))}
  15. Element(listfshuffle, nN) → f0
  16. Random(0, 1) → ranneg
  17. If(ranneg ≟ 0, (-f0(x)), f0) → fpn
  18. Expand(fpn) → fexp
  19. Factor(fexp) → fsim
  20. If(qQ ≟ 1, fexp, fsim) → fdisplay
  21. Degree(fdisplay) → ansadegree
  22. If(GCD[ansadegree, 2] ≟ 2, 1, 0) → evenis1
  23. If(evenis1 ≟ 0 ∧ ranneg ≟ 1, 1, If[evenis1 ≟ 1 ∧ ranneg ≟ 1, 1, 4]) → ansc2
  24. If(evenis1 ≟ 0 ∧ ranneg ≟ 1, 3, If[evenis1 ≟ 1 ∧ ranneg ≟ 0, 3, 2]) → ansc1
  25. Element(rshlist, 5) → rr5
  26. Corner(5) → dims
  27. If(evenis1 ≟ 1, 0, 1) → ansd1
  28. If(evenis1 ≟ 1, 1, 0) → anse1
  29. Textfield(studadegree) → InputBox1
  30. Textfield(studbyint) → InputBox2
  31. Textfield(studd2) → InputBox6
  32. Textfield(stude2) → InputBox8
  33. Textfield(stude1) → InputBox7
  34. Textfield(studd1) → InputBox5
  35. AreEqual(InputBox1, ansadegree) → corra
  36. AreEqual(InputBox2, ansbyint) → corrb

AI Drawing Prompt Reference

Create a random quiz for polynomial and rational functions. First, randomly generate a polynomial function, then determine its degree, parity, factorization, and simplified form. Input the degree, parity, factorization, and simplified form of the generated function. Note that odd functions have a value of 0 at x=0, and even functions are symmetric about the x-axis.
The prompt above was compiled from the original drawing commands and is for reference only.