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