|8. (a) Since f'(x) = 2x, Newton's method xn+1 =
xn - f(xn)/f'(xn) reduces to
||(c) The graph of the Newton function.
(Note that x = 1 and x = -1 are fixed points.)
||(d) At x = -1 and x = 1, the tangent line to the graph of the
Newton function is horizontal, so both these fixed points are stable.
||(e) The basin of attraction of 1 is the interval
(0, infinity); the basin of attraction of -1 is the interval
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