10. (a) The roots are sqrt(-c) and -sqrt(-c).
(b) The graph of the Newton function for x2 - 1/2
(c) Newton's method takes any x > 0 to the root sqrt(1/2), and takes any x < 0 to the root -sqrt(1/2).
(d) The graph of the Newton function for x2 - 3/2
(e) Newton's method takes any x < 0 to the root -sqrt(3/2).
(f) The graph of the Newton function for x2 + 1/2
(g) Points appear to wander all over the place, being thrown from one side of 0 to the other.

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