The figure shows the graph of a function  f. Suppose that
Newton’s method is used to approximate the root  r of the
equation f(x) =0 with initial approximation x1 =1 .
(a) Draw the tangent lines that are used to find x2 and x3 ,
and estimate the numerical values of  x2 and  x3.
(b) Would x1 = 5 be a better first approximation? Explain.

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Transcribed Image Text

y 1 1