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Graphs of Exponential Functions by Shaun Hurley

Graphs of Exponential Functions by Shaun Hurley
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2016-06-20 04:35
FunctionCalculusGraphing
This example demonstrates the graphs of exponential functions. It involves key mathematical concepts such as the properties and graph characteristics of exponential functions. Using GeoGebra commands like Shuffle, RandomElement, If, etc., it dynamically shows the graphs of exponential functions with different bases. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Shuffle(baseList) → baseListShuffled
  2. RandomElement({(-base1^(RandomElement[{(-x), x}])), base1^(RandomElement[{(-x), x}])}) → a
  3. Random(1, 5) → randCode
  4. If(randCode ≟ 1, {1, 3, 5, 4, 2}, If[randCode ≟ 2, {5, 1, 4, 2, 3}, If[randCode ≟ 3, {2, 3, 1, 5, 4}, If[randCode ≟ 4, {3, 5, 2, 4, 1}, {4, 2, 3, 1, 5}]]]) → code
  5. RandomElement({true, false}) → neg
  6. RandomElement({(-base5^(RandomElement[{(-x), x}])), base5^(RandomElement[{(-x), x}])}) → e
  7. RandomElement({(-base4^(RandomElement[{(-x), x}])), base4^(RandomElement[{(-x), x}])}) → d
  8. RandomElement({(-base3^(RandomElement[{(-x), x}])), base3^(RandomElement[{(-x), x}])}) → c
  9. RandomElement({(-base2^(RandomElement[{(-x), x}])), base2^(RandomElement[{(-x), x}])}) → b
  10. Textfield(bText) → InputBox2
  11. Textfield(cText) → InputBox3
  12. Textfield(dText) → InputBox4
  13. Textfield(eText) → InputBox5
  14. CountIf(x ≟ true, checker) → f
  15. Textfield(aText) → InputBox6
  16. If(f ≟ 5, "All correct!", "Keep trying...") → display

AI Drawing Prompt Reference

Create a dynamic educational graph showing exponential functions. Display five curves with different bases, each possibly reflected vertically or horizontally. Arrange them randomly and provide five input boxes for students to enter the corresponding expressions. Below, show a feedback message that reads 'All correct!' when all inputs match, otherwise 'Keep trying...'. The layout should be clean, suitable for high school math, emphasizing growth and decay behaviors.
The prompt above was compiled from the original drawing commands and is for reference only.