Let x =a and x = b be the brackets for a root-finding problem for a scalar function /(x). If 8 =b-a is the size of the original bracket, the size of the interval containing the root after four iterations of the bisection method is (a) 8 (unchanged). (b) 8/4 (e) 8/8 (d) 8/16 (e) not knowable with the given information.

Let x =a and x = b be the brackets for a root-finding problem for a scalar function /(x). If 8 =b-a is the size of the original bracket, the size of the interval containing the root after four iterations of the bisection method is (a) 8 (unchanged). (b) 8/4 (e) 8/8 (d) 8/16 (e) not knowable with the given information.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

Let x = a and x = b be the brackets for a root-finding problem for a scalar function f(x).
If 8 = b-a is the size of the original bracket, the size of the interval containing the root
after four iterations of the bisection method is
(a) 8 (unchanged).
(b) 8/4
(c) 6/8
(d) 8/16
(e) not knowable with the given information.

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