MathPlotAI Logo MathPlotAI

Phantom Graph of 2x^2/(x^2+1)

Phantom Graph of 2x^2/(x^2+1)
Loading the math board and drawing, please wait…
2018-07-15 10:07
FunctionComplex NumberGraphing
In collections Phantom Graphs
This example demonstrates the phantom graph of the function 2x^2/(x^2+1). The key mathematical concepts involved are function graphs and complex numbers. Using GeoGebra commands such as CurveCartesian, Plane, and ComplexRoot, the graph of the function can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. CurveCartesian(0, (2 * t^(2) / (t^(2) - 1)), t, t, -25, 25) → a
  2. Plane((0, c, 0), (1, c, 0), (0, c, 1)) → b
  3. ComplexRoot((2 * x^(2)) - (c * (x^(2) + 1))) → z_1, z_2