Inverse Square Root Function and Its Area Function
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This example demonstrates the inverse square root function and its corresponding area function, where the area function visually shows the median. Key mathematical concepts include the inverse square root function, area function, and median. The construction uses If, IntegralBetween, and LaTeX commands. Suitable for high school mathematics education and learning, particularly in coordinate geometry and probability & statistics.
GeoGebra Commands & Parameters
If(t ≤ s, 2, (1 / t)^(2)) → bIf(t ≤ (-s), (-(1 / t)^(2)), -2) → aIntegralBetween(g, f, a, -1.0E-4) → A_5IntegralBetween(g, f, b, 2) → A_4IntegralBetween(f, g, 1.0E-4, b) → A_3IntegralBetween(f, g, -2, a) → A_1LaTeX(AreaTotal, true, true) → text1