Question: The figure shows the graph of a function f. Suppose that Newtons method is used to approximate the root s of the equation f (x)

The figure shows the graph of a function f. Suppose that Newton’s method is used to approximate the root s of the equation f (x) = 0 with initial approximation x₁ = 6.
(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 = 8 be a better first approximation? Explain.

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