9. (c) The graph of the Newton function.

(d) The graph of the Newton function does not intersect the diagonal line, so there are no (real) fixed points for Newton's method.

(e) The first ten iterates of Newton's method, starting from x = 0.333, are -1.335, -0.292969, 1.56018, 0.459613, -0.858065, 0.153674, -3.1768, -1.43101, -0.366101, 1.18269

(f) The first ten iterates of Newton's method, starting from x = 0.334, are -1.33001, -0.289065, 1.58518, 0.477171, -0.809258, 0.213221, -2.23837, -0.895808, 0.110252, -4.47996

(g) This suggests Newton's method for this function exhibits sensitive dependence on initial conditions.

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