Answer to Question #322446 in Math for Jaguar

Question

Question 3 [10 marks]

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.