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IV. Root-finding algorithms 8. Refer to the Pseudocode for Bisection Method. Suppose we want to use Bisection method to find the root of f(x)=3x-7

IV. Root-finding algorithms 8. Refer to the Pseudocode for Bisection Method. Suppose we want to use Bisection method to find the root of f(x)=3x-7

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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IV. Root-finding algorithms 8. Refer to the Pseudocode for Bisection Method. Suppose we want to use Bisection method to find the root of f(x)%3D3X-7 a. Among the following pairs of input for x0 and x1, choose the correct initial guess: (x0=-1, x1=1), (x0=1, x1=2), (x=1, x1=3), (x0=3, x1=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace x1 with x2? Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(xQ)F(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else x0 = x2 End If while abs(f(x2)) > e 6. Print root as x2 7. Stop
Transcribed Image Text:IV. Root-finding algorithms 8. Refer to the Pseudocode for Bisection Method. Suppose we want to use Bisection method to find the root of f(x)%3D3X-7 a. Among the following pairs of input for x0 and x1, choose the correct initial guess: (x0=-1, x1=1), (x0=1, x1=2), (x=1, x1=3), (x0=3, x1=4). b. Use the correct input to calculate x2. c. Calculate f(x2). d. According to the value of f(x2), should we replace x0 with x2, or replace x1 with x2? Pseudocode for Bisection Method 1. Start 2. Define function f(x) 3. Input a. Lower and Upper guesses x0 and x1 b. tolerable error e 4. If f(xQ)F(x1) > 0 print "Incorrect initial guesses" goto 3 End If 5. Do x2 = (x0+x1)/2 If f(x0)*f(x2) < 0 x1 = x2 Else x0 = x2 End If while abs(f(x2)) > e 6. Print root as x2 7. Stop
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