Consider the function f(x) = (x + 3)(x – 5) We apply the bisection method to this function starting with the interval [2, 4] This means a = 2, b = 4. Which of the following statements is correct? Note: it might be helpful to graph the function (by hand!). The bisection method will converge to the root r = 5 . The bisection method does not converge because f(a)f(b) > 0. The bisection method will converge to the root r = -3.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Question 4
Consider the function
f(x) = (x + 3)(x - 5)
We apply the bisection method to this function starting with the interval [2, 4] This means
a = 2, b = 4.
Which of the following statements is correct?
Note: it might be helpful to graph the function (by hand!).
The bisection method will converge to the root r = 5 .
The bisection method does not converge because f(a)ƒ(b) > 0.
The bisection method will converge to the root r = -3.
Transcribed Image Text:Question 4 Consider the function f(x) = (x + 3)(x - 5) We apply the bisection method to this function starting with the interval [2, 4] This means a = 2, b = 4. Which of the following statements is correct? Note: it might be helpful to graph the function (by hand!). The bisection method will converge to the root r = 5 . The bisection method does not converge because f(a)ƒ(b) > 0. The bisection method will converge to the root r = -3.
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