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Polynomial Functions & Expected Value Demo

Polynomial Functions & Expected Value Demo
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2017-07-19 04:13
FunctionCalculusProbability & Statistics
This example dynamically visualizes the interaction between polynomial functions and normal distribution. Key math concepts include polynomial functions, expected value, normal distribution, and calculus. GeoGebra commands like Random, RandomElement, Textfield, and TableText are used to generate random data and display it visually. Suitable for high school and above mathematics education, focusing on probability statistics and calculus.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_2
  2. Random(-10, 10) → b
  3. Random(-10, 10) → a
  4. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  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