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Demonstration of Piecewise Functions and Statistical Characteristics

Demonstration of Piecewise Functions and Statistical Characteristics
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2017-07-19 04:12
FunctionTrigonometryProbability & Statistics
This example demonstrates the graphing of piecewise functions and the dynamic changes in their statistical characteristics (e.g., mean, median). Key math concepts include piecewise functions, cosine, and statistical feature analysis. It utilizes GeoGebra commands like Random, RandomElement, Textfield, TableText, sliders, and buttons to generate random data and display statistical features, making it suitable for high school mathematics teaching to understand function properties and data analysis.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → a
  2. Random(-10, 10) → d_2
  3. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  4. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  5. Random(-10, 10) → b
  6. Textfield(h) → InputBox1
  7. Random(-10, 10) → b_1
  8. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  9. Random(-10, 10) → d_1
  10. Textfield(m) → InputBox2
  11. Textfield(f) → InputBox4
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {m, e, l, k}}, "|_r") → text3_1