Newton's Method in Geogebra for the one-parameter family of cubic polynomial [math]f(x)=x^3+(a-1)x-a[/math]
401 starting points in the interval [-2,2] (slider a) are colored red, blue or green
depending on convergence to a root of the cubic polynomial.
The color "black" is assigned to a diverging starting point.
The convergence criterion is [math]|x_k-x*|<0.0001[/math] in 25 iterations.
The number of converging starting points to a specific root is also given.
The maximum and minimum points are also calculated.
