17. This question refers to the function f(x) whose graph is shown below. (a) Suppose that Newton's method is used to solve f(x) = 0, and that the initial value to = -2 is chosen. Use the graph to find the approximate value of 21 (Show on the graph how you derived this). (b) If the initial value x1 = -6 is chosen, will the sequence 11, 12,..., Im... converge upon a root of f(x) = 0? If so, which one?
(c) Give an example of a number which should NOT be chosen as the initial value to, for this problem.
