8. (a) Since f'(x) = 2x, Newton's method x_{n+1} =
x_{n}  f(x_{n})/f'(x_{n}) reduces to
x_{n+1} =

(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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