Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
1st Edition
ISBN: 9780078682278
Author: McGraw-Hill, Berchie Holliday
Publisher: Glencoe/McGraw-Hill
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Chapter 1.2, Problem 27E
To determine

To find: first three iterates of f(x)=x(3x) using x0=1 as initial value.

Expert Solution & Answer
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Answer to Problem 27E

  x1=2x2=2x3=2 .

Explanation of Solution

Given information: The given function is f(x)=x(3x)

Initial value, x0=1

Calculation:

Let first iterate, x1=f(x0)

Substitute x0 , to get

  x1=f(1) …. (1)

Put 1 in the function to evaluate f(1) as follows:

  f(1)=(1)(31)=2

Put the value of f(1) in equation (1) to get,

  x1=2

Thus, first iterate of f(x) is 2.

Similarly follow the steps to find the second iterate, x2 .

  x2=f(f(x0))=f(x1)                                                            [f(x0)=x1]=f(2)                                                              [f(x1)=2]                                              ....(2)

Put 2 in the function f(x) to evaluate f(2) as follows:

  f(2)=(2)(32)=2(1)=2

Put the value of f(2) in equation (2) to get,

  x2=2

Thus, second iterate of f(x) is 2.

Similarly follow the steps to find the third iterate, x3 .

  x3=f(f(f(x0)))=f(x2)                                                            [f(f(x0))=x2]=f(2) =2                                                                    [f(x2)=2]         

Thus, third iterate of f(x) is 2.

Chapter 1 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 1.1 - Prob. 11CFUCh. 1.1 - Prob. 12CFUCh. 1.1 - Prob. 13CFUCh. 1.1 - Prob. 14CFUCh. 1.1 - Prob. 15CFUCh. 1.1 - Prob. 16CFUCh. 1.1 - Prob. 17ECh. 1.1 - Prob. 18ECh. 1.1 - Prob. 19ECh. 1.1 - Prob. 20ECh. 1.1 - Prob. 21ECh. 1.1 - Prob. 22ECh. 1.1 - Prob. 23ECh. 1.1 - Prob. 24ECh. 1.1 - Prob. 25ECh. 1.1 - Prob. 26ECh. 1.1 - Prob. 27ECh. 1.1 - Prob. 28ECh. 1.1 - Prob. 29ECh. 1.1 - Prob. 30ECh. 1.1 - Prob. 31ECh. 1.1 - Prob. 32ECh. 1.1 - Prob. 33ECh. 1.1 - Prob. 34ECh. 1.1 - Prob. 35ECh. 1.1 - Prob. 36ECh. 1.1 - Prob. 37ECh. 1.1 - Prob. 38ECh. 1.1 - Prob. 39ECh. 1.1 - Prob. 40ECh. 1.1 - Prob. 41ECh. 1.1 - Prob. 42ECh. 1.1 - Prob. 43ECh. 1.1 - Prob. 44ECh. 1.1 - Prob. 45ECh. 1.1 - Prob. 46ECh. 1.1 - Prob. 47ECh. 1.1 - Prob. 48ECh. 1.1 - Prob. 49ECh. 1.1 - Prob. 50ECh. 1.1 - Prob. 51ECh. 1.1 - Prob. 52ECh. 1.1 - Prob. 53ECh. 1.1 - Prob. 54ECh. 1.1 - Prob. 55ECh. 1.1 - Prob. 56ECh. 1.1 - Prob. 57ECh. 1.2 - Prob. 1GCECh. 1.2 - Prob. 2GCECh. 1.2 - Prob. 3GCECh. 1.2 - Prob. 4GCECh. 1.2 - Prob. 5GCECh. 1.2 - Prob. 1CFUCh. 1.2 - Prob. 2CFUCh. 1.2 - Prob. 3CFUCh. 1.2 - Prob. 4CFUCh. 1.2 - Prob. 5CFUCh. 1.2 - Prob. 6CFUCh. 1.2 - Prob. 7CFUCh. 1.2 - Prob. 8CFUCh. 1.2 - Prob. 9CFUCh. 1.2 - Prob. 10CFUCh. 1.2 - Prob. 11ECh. 1.2 - Prob. 12ECh. 1.2 - Prob. 13ECh. 1.2 - Prob. 14ECh. 1.2 - Prob. 15ECh. 1.2 - Prob. 16ECh. 1.2 - Prob. 17ECh. 1.2 - Prob. 18ECh. 1.2 - Prob. 19ECh. 1.2 - Prob. 20ECh. 1.2 - Prob. 21ECh. 1.2 - Prob. 22ECh. 1.2 - Prob. 23ECh. 1.2 - Prob. 24ECh. 1.2 - Prob. 25ECh. 1.2 - Prob. 26ECh. 1.2 - Prob. 27ECh. 1.2 - Prob. 28ECh. 1.2 - Prob. 29ECh. 1.2 - Prob. 30ECh. 1.2 - Prob. 31ECh. 1.2 - Prob. 32ECh. 1.2 - Prob. 33ECh. 1.2 - Prob. 34ECh. 1.2 - Prob. 35ECh. 1.2 - Prob. 36ECh. 1.2 - Prob. 37ECh. 1.2 - Prob. 38ECh. 1.2 - Prob. 39ECh. 1.3 - Prob. 1CFUCh. 1.3 - Prob. 2CFUCh. 1.3 - Prob. 3CFUCh. 1.3 - Prob. 4CFUCh. 1.3 - Prob. 5CFUCh. 1.3 - Prob. 6CFUCh. 1.3 - Prob. 7CFUCh. 1.3 - Prob. 8CFUCh. 1.3 - Prob. 9CFUCh. 1.3 - Prob. 10CFUCh. 1.3 - Prob. 11CFUCh. 1.3 - Prob. 12ECh. 1.3 - Prob. 13ECh. 1.3 - Prob. 14ECh. 1.3 - Prob. 15ECh. 1.3 - Prob. 16ECh. 1.3 - Prob. 17ECh. 1.3 - Prob. 18ECh. 1.3 - Prob. 19ECh. 1.3 - Prob. 20ECh. 1.3 - Prob. 21ECh. 1.3 - Prob. 22ECh. 1.3 - Prob. 23ECh. 1.3 - Prob. 24ECh. 1.3 - Prob. 25ECh. 1.3 - Prob. 26ECh. 1.3 - Prob. 27ECh. 1.3 - Prob. 28ECh. 1.3 - Prob. 29ECh. 1.3 - Prob. 30ECh. 1.3 - Prob. 31ECh. 1.3 - Prob. 32ECh. 1.3 - Prob. 33ECh. 1.3 - Prob. 34ECh. 1.3 - Prob. 35ECh. 1.3 - Prob. 36ECh. 1.3 - Prob. 37ECh. 1.3 - Prob. 38ECh. 1.3 - Prob. 39ECh. 1.3 - Prob. 40ECh. 1.3 - Prob. 41ECh. 1.3 - Prob. 42ECh. 1.3 - Prob. 43ECh. 1.3 - Prob. 44ECh. 1.3 - Prob. 45ECh. 1.3 - Prob. 46ECh. 1.3B - Prob. 1GCECh. 1.3B - Prob. 2GCECh. 1.3B - Prob. 3GCECh. 1.4 - Prob. 1CFUCh. 1.4 - Prob. 2CFUCh. 1.4 - Prob. 3CFUCh. 1.4 - Prob. 4CFUCh. 1.4 - Prob. 5CFUCh. 1.4 - Prob. 6CFUCh. 1.4 - Prob. 7CFUCh. 1.4 - Prob. 8CFUCh. 1.4 - Prob. 9CFUCh. 1.4 - Prob. 10CFUCh. 1.4 - Prob. 11ECh. 1.4 - Prob. 12ECh. 1.4 - Prob. 13ECh. 1.4 - Prob. 14ECh. 1.4 - Prob. 15ECh. 1.4 - Prob. 16ECh. 1.4 - Prob. 17ECh. 1.4 - Prob. 18ECh. 1.4 - Prob. 19ECh. 1.4 - Prob. 20ECh. 1.4 - Prob. 21ECh. 1.4 - Prob. 22ECh. 1.4 - Prob. 23ECh. 1.4 - Prob. 24ECh. 1.4 - Prob. 25ECh. 1.4 - Prob. 26ECh. 1.4 - Prob. 27ECh. 1.4 - Prob. 28ECh. 1.4 - Prob. 29ECh. 1.4 - Prob. 30ECh. 1.4 - Prob. 31ECh. 1.4 - Prob. 32ECh. 1.4 - Prob. 33ECh. 1.4 - Prob. 34ECh. 1.4 - Prob. 35ECh. 1.4 - Prob. 1MCQCh. 1.4 - Prob. 2MCQCh. 1.4 - Prob. 3MCQCh. 1.4 - Prob. 4MCQCh. 1.4 - Prob. 5MCQCh. 1.4 - Prob. 6MCQCh. 1.4 - Prob. 7MCQCh. 1.4 - Prob. 8MCQCh. 1.4 - Prob. 9MCQCh. 1.4 - Prob. 10MCQCh. 1.5 - Prob. 1CFUCh. 1.5 - Prob. 2CFUCh. 1.5 - Prob. 3CFUCh. 1.5 - Prob. 4CFUCh. 1.5 - Prob. 5CFUCh. 1.5 - Prob. 6CFUCh. 1.5 - Prob. 7CFUCh. 1.5 - Prob. 8CFUCh. 1.5 - Prob. 9CFUCh. 1.5 - Prob. 10CFUCh. 1.5 - Prob. 11CFUCh. 1.5 - Prob. 12ECh. 1.5 - Prob. 13ECh. 1.5 - Prob. 14ECh. 1.5 - Prob. 15ECh. 1.5 - Prob. 16ECh. 1.5 - Prob. 17ECh. 1.5 - Prob. 18ECh. 1.5 - Prob. 19ECh. 1.5 - Prob. 20ECh. 1.5 - Prob. 21ECh. 1.5 - Prob. 22ECh. 1.5 - Prob. 23ECh. 1.5 - Prob. 24ECh. 1.5 - Prob. 25ECh. 1.5 - Prob. 26ECh. 1.5 - Prob. 27ECh. 1.5 - Prob. 28ECh. 1.5 - Prob. 29ECh. 1.5 - Prob. 30ECh. 1.5 - Prob. 31ECh. 1.5 - Prob. 32ECh. 1.5 - Prob. 33ECh. 1.5 - Prob. 34ECh. 1.5 - Prob. 35ECh. 1.5 - Prob. 36ECh. 1.5 - Prob. 37ECh. 1.5 - Prob. 38ECh. 1.5 - Prob. 39ECh. 1.5 - Prob. 40ECh. 1.6 - Prob. 1CFUCh. 1.6 - Prob. 2CFUCh. 1.6 - Prob. 3CFUCh. 1.6 - Prob. 4CFUCh. 1.6 - Prob. 5CFUCh. 1.6 - Prob. 6ECh. 1.6 - Prob. 7ECh. 1.6 - Prob. 8ECh. 1.6 - Prob. 9ECh. 1.6 - Prob. 10ECh. 1.6 - Prob. 11ECh. 1.6 - Prob. 12ECh. 1.6 - Prob. 13ECh. 1.6 - Prob. 14ECh. 1.6 - Prob. 15ECh. 1.6 - Prob. 16ECh. 1.6 - Prob. 17ECh. 1.6 - Prob. 18ECh. 1.6 - Prob. 19ECh. 1.7 - Prob. 1CFUCh. 1.7 - Prob. 2CFUCh. 1.7 - Prob. 3CFUCh. 1.7 - Prob. 4CFUCh. 1.7 - Prob. 5CFUCh. 1.7 - Prob. 6CFUCh. 1.7 - Prob. 7CFUCh. 1.7 - Prob. 8CFUCh. 1.7 - Prob. 9CFUCh. 1.7 - Prob. 10CFUCh. 1.7 - Prob. 11ECh. 1.7 - Prob. 12ECh. 1.7 - Prob. 13ECh. 1.7 - Prob. 14ECh. 1.7 - Prob. 15ECh. 1.7 - Prob. 16ECh. 1.7 - Prob. 17ECh. 1.7 - Prob. 18ECh. 1.7 - Prob. 19ECh. 1.7 - Prob. 20ECh. 1.7 - Prob. 21ECh. 1.7 - Prob. 22ECh. 1.7 - Prob. 23ECh. 1.7 - Prob. 24ECh. 1.7 - Prob. 25ECh. 1.7 - Prob. 26ECh. 1.7 - Prob. 27ECh. 1.7 - Prob. 28ECh. 1.7 - Prob. 29ECh. 1.7 - Prob. 30ECh. 1.7 - Prob. 31ECh. 1.7 - Prob. 32ECh. 1.7 - Prob. 33ECh. 1.7 - Prob. 34ECh. 1.7 - Prob. 35ECh. 1.7 - Prob. 36ECh. 1.7 - Prob. 37ECh. 1.8 - Prob. 1CFUCh. 1.8 - Prob. 2CFUCh. 1.8 - Prob. 3CFUCh. 1.8 - Prob. 4CFUCh. 1.8 - Prob. 5CFUCh. 1.8 - Prob. 6CFUCh. 1.8 - Prob. 7CFUCh. 1.8 - Prob. 8CFUCh. 1.8 - Prob. 9ECh. 1.8 - Prob. 10ECh. 1.8 - Prob. 11ECh. 1.8 - Prob. 12ECh. 1.8 - Prob. 13ECh. 1.8 - Prob. 14ECh. 1.8 - Prob. 15ECh. 1.8 - Prob. 16ECh. 1.8 - Prob. 17ECh. 1.8 - Prob. 18ECh. 1.8 - Prob. 19ECh. 1.8 - Prob. 20ECh. 1.8 - Prob. 21ECh. 1.8 - Prob. 22ECh. 1.8 - Prob. 23ECh. 1.8 - Prob. 24ECh. 1.8 - Prob. 25ECh. 1.8 - Prob. 26ECh. 1.8 - Prob. 27ECh. 1.8 - Prob. 28ECh. 1.8 - Prob. 29ECh. 1.8 - Prob. 30ECh. 1.8 - Prob. 31ECh. 1.8 - Prob. 32ECh. 1 - Prob. 1SGACh. 1 - Prob. 2SGACh. 1 - Prob. 3SGACh. 1 - Prob. 4SGACh. 1 - Prob. 5SGACh. 1 - Prob. 6SGACh. 1 - Prob. 7SGACh. 1 - Prob. 8SGACh. 1 - Prob. 9SGACh. 1 - Prob. 10SGACh. 1 - Prob. 11SGACh. 1 - Prob. 12SGACh. 1 - Prob. 13SGACh. 1 - Prob. 14SGACh. 1 - Prob. 15SGACh. 1 - Prob. 16SGACh. 1 - Prob. 17SGACh. 1 - Prob. 18SGACh. 1 - Prob. 19SGACh. 1 - Prob. 20SGACh. 1 - Prob. 21SGACh. 1 - Prob. 22SGACh. 1 - Prob. 23SGACh. 1 - Prob. 24SGACh. 1 - Prob. 25SGACh. 1 - Prob. 26SGACh. 1 - Prob. 27SGACh. 1 - Prob. 28SGACh. 1 - Prob. 29SGACh. 1 - Prob. 30SGACh. 1 - Prob. 31SGACh. 1 - Prob. 32SGACh. 1 - Prob. 33SGACh. 1 - Prob. 34SGACh. 1 - Prob. 35SGACh. 1 - Prob. 36SGACh. 1 - Prob. 37SGACh. 1 - Prob. 38SGACh. 1 - Prob. 39SGACh. 1 - Prob. 40SGACh. 1 - Prob. 41SGACh. 1 - Prob. 42SGACh. 1 - Prob. 43SGACh. 1 - Prob. 44SGACh. 1 - Prob. 45SGACh. 1 - Prob. 46SGACh. 1 - Prob. 47SGACh. 1 - Prob. 48SGACh. 1 - Prob. 49SGACh. 1 - Prob. 50SGACh. 1 - Prob. 51SGACh. 1 - Prob. 52SGACh. 1 - Prob. 53SGACh. 1 - Prob. 54SGACh. 1 - Prob. 55SGACh. 1 - Prob. 56SGACh. 1 - Prob. 57SGACh. 1 - Prob. 58SGACh. 1 - Prob. 59SGACh. 1 - Prob. 60SGACh. 1 - Prob. 61SGACh. 1 - Prob. 62SGACh. 1 - Prob. 63SGACh. 1 - Prob. 64SGACh. 1 - Prob. 65SGACh. 1 - Prob. 66SGACh. 1 - Prob. 67SGACh. 1 - Prob. 68SGACh. 1 - Prob. 69SGACh. 1 - Prob. 1SAPCh. 1 - Prob. 2SAPCh. 1 - Prob. 3SAPCh. 1 - Prob. 4SAPCh. 1 - Prob. 5SAPCh. 1 - Prob. 6SAPCh. 1 - Prob. 7SAPCh. 1 - Prob. 8SAPCh. 1 - Prob. 9SAPCh. 1 - Prob. 10SAP
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