Figure 4-18 (p.l75) plots the cubic function from equation 4.34. Write a computer program (or use an equation solver such as Mathcad, Matlab, or TKSolver to solve the matrix equation) to investigate the behavior of the Newton-Raphson algorithm as the initial guess value is varied from x = 1.8 to 2.5 in steps of 0.1. Determine the guess value at which the convergence switches roots. Explain this root-switching phenomenon based on your observations from this exercise.
