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The figure below depicts the generating function g ( x ) used in a Simple Fixed - Point iteration algorithm ( and a 4 5

The figure below depicts the generating function g(x) used in a Simple Fixed-Point iteration algorithm
(and a 45 line for reference).
(a)(6 points) Starting at a value of x0=3, give x1,x2,x3, and x4 generated by the fixed-point method.
Show your work directly on the plot below.
(b)(8 points) Give the values of the approximate percent relative error, Ea in the first 4 steps of the
fixed-point algorithm, based on your values from part (a)
(c)(6 points) Is the method converging or diverging? Do the graphical results agree with the theory
covered in the course (Fixed Point Theorem). Please discuss in the space below.
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