Rotating a Piecewise Function About xAxis: Quick GeoGebra 3D Demo

Rotating a Piecewise Function About xAxis: Quick GeoGebra 3D Demo
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2019-09-25 00:40
This example demonstrates how to form a surface of revolution by rotating a piecewise-defined function in GeoGebra 3D Calculator. It involves core math concepts like piecewise functions, surfaces of revolution, 3D geometry, and coordinate geometry. The construction uses GeoGebra commands Rotate and Surface with objects f, f_1, and n. Ideal for high school students and above to understand 3D shapes formed by function rotation.

GeoGebra Commands & Parameters

  1. Rotate(f, n, xAxis) → f_1
  2. Surface(f, n, xAxis) → a