Answer to Question #332103 in Algorithms for Jaguar

Question

(For Questions 2 to 5)

Consider the function f(x) = x^3−2x^2−4x+ 2.

Question 3

Which of the following statements is true about the given function?

(1) The Intermediate Value Theorem does not hold between x = −1 and x = 1.

(2) The function has two roots in the interval [−2, 4].

(3) It will take at least 15 iterations of the bisection method to approximate the root between

x = −2/3 and x = 2 correct to 10^−4.

(4) It will take no more than 14 iterations for the bisection method to converge to the root between

x = −2/3 and x = 2 correct to 10^−5.

(5) The function has at least one singular point.

Answer 1

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