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Exploring Exponential Functions

Exploring Exponential Functions
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2019-02-28 06:07
FunctionCalculusProbability & Statistics
This example demonstrates the graph and properties of exponential functions. It covers key mathematical concepts such as exponential functions, function graphs, and statistics. Using GeoGebra commands like Element, Polygon, and NumToFrac, users can dynamically explore the changes in exponential functions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Element(cVals, cIndx) → cVal
  2. UnicodeToLetter(10007) → xmark
  3. UnicodeToLetter(10003) → cmark
  4. Polygon({(left, bottom), (left, top), (right, top), (right, bottom)}) → viewbox
  5. Element(B2:B7, cIndx) → cValFmt
  6. NumToFrac(E2) → F2
  7. NumToFrac(E3) → F3
  8. NumToFrac(E4) → F4
  9. NumToFrac(E5) → F5
  10. NumToFrac(E6) → F6
  11. NumToFrac(G2) → H2
  12. NumToFrac(G3) → H3
  13. NumToFrac(G4) → H4
  14. NumToFrac(G5) → H5
  15. NumToFrac(I2) → J2
  16. NumToFrac(I3) → J3
  17. NumToFrac(I4) → J4
  18. LaTeX(("a=" * a)) → lblA
  19. NumToFrac(C2) → D2
  20. NumToFrac(C3) → D3
  21. NumToFrac(C4) → D4
  22. NumToFrac(C5) → D5
  23. NumToFrac(C6) → D6
  24. LaTeX("\text{\hphantom{ii}Second\\Difference}") → lblSecond
  25. LaTeX("\text{\hphantom{Di}First\\Difference}") → lblFirst
  26. LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K3
  27. LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K4
  28. LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K2
  29. LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K6
  30. LaTeX(("\vphantom{\dfrac{1}{1}}\times" * cValFmt)) → K5
  31. LaTeX(("\vphantom{\dfrac{1}{1}}c=" * cValFmt)) → lblC
  32. LaTeX(((("\vphantom{\dfrac{1}{1}}f(x)=" * If[a ≟ 1, "", (("" * a) * "\cdot")]) * cValFmt) * "^x")) → lblFunc
  33. LaTeX((((("\text{\textbf{Question: }" * MainInstruc) * "\\\textbf{Instructions: }") * SpecInstruc) * "}")) → allInstruc
  34. TableText({Zip[(A * "\\"), A, H2:H5]}, "vr") → firstDiffs
  35. TableText({Zip[(A * "\\"), A, J2:J4]}, "vr") → secDiffs
  36. TableText({Zip[(A * "\\"), A, D2:D6]}, "vc") → tblX
  37. TableText({Zip[(A * "\\"), A, F2:F6]}, "vc") → tblY