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{"ops":[{"insert":"(For Questions 2 to 5)"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Consider the function f(x) = x^3\u22122x^2\u22124x+ 2."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Question 3"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"Which of the following statements is true about the given function?"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(1) The Intermediate Value Theorem does not hold between x = \u22121 and x = 1."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(2) The function has two roots in the interval [\u22122, 4]."},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(3) It will take at least 15 iterations of the bisection method to approximate the root between"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"x = \u22122\/3 and x = 2 correct to 10^\u22124. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(4) It will take no more than 14 iterations for the bisection method to converge to the root between"},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"x = \u22122\/3 and x = 2 correct to 10^\u22125. "},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":""},{"insert":"\n"},{"insert":"(5) The function has at least one singular point."},{"insert":"\n"}]}

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