A piecewise linear function f(x) is plotted using thick solid lines in the…

GATE · 2003 · CS

A piecewise linear function f(x) is plotted using thick solid lines in the figure below (the plot is drawn to scale).

cs-2003_clip_image032

If we use the Newton-Raphson method to find the roots of f(x) = 0 using x0, x1 and x2 respectively as initial guesses, the roots obtained would be

  1. A.

    1.3, 0.6, and 0.6 respectively

  2. B.

    0.6, 0.6, and 1.3 respectively

  3. C.

    1.3, 1.3, and 0.6 respectively

  4. D.

    1.3, 0.6, and 1.3 respectively

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Correct answer: D

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