Square Root Function Example 3

Square Root Function Example 3
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2017-11-14 19:35
This example demonstrates the graph of the square root function and its related properties. Core math concepts include function graphing, square roots, integral calculus, and median value theorem. GeoGebra commands and objects like g, h, h_1, f, f_1, text1, text2, a, b, c, d are used to construct the function graph, annotations, and dynamic elements. Suitable for high school mathematics teaching, helping students understand function graphing and initial applications of calculus.

GeoGebra Commands & Parameters

  1. g(x) = ((2 - x) * (x + 1)^(2))
  2. h(x) = If[-100 ≤ x ≤ 2, g]
  3. h_1(x) = (-h(x))
  4. f(x) = sqrt(g(x))
  5. f_1(x) = (-f(x))
  6. Boolean a(false)
  7. Boolean b(false)
  8. Boolean c(false)
  9. Boolean d(false)