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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Concept explainers

Maximization
Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.
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Chapter 3.1, Problem 5CFU
To determine

To find: who is correct and support the answer graphically and algebraically.

Expert Solution & Answer
Check Mark

Answer to Problem 5CFU

Alicia is correct.

Explanation of Solution

Given information:

Alicia said any graph that is symmetric to origin and the y-axis must also be symmetric to the x-axis. Chet disagrees with her.

Calculation:

Look at the graph given below.

  Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.1, Problem 5CFU

If the graph is symmetrical with respect to the origin, then any part in quadrant 1 will be showing in opposite direction in quadrant 3. Similarly, any part in quadrant 2 will be showing in opposite direction in quadrant 4.

If the graph has y-axis symmetry, then any part in the quadrant 1 will be reflected in the quadrant 2. And similarly any part in quadrant 3 will be reflected in quadrant 4. This means that it is symmetric to the x-axis.

Algebraically, if (x,y) is replaced with (−x,−y) which reflects over y=−x , then replace that with (−x,y) which reflects over the y-axis. Hence the result obtained for (x,y) and (x,−y) is same.

Thus, Alicia is correct.

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Chapter 3.1, Problem 4CFU
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Chapter 3.1, Problem 6CFU

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFUCh. 3.1 - Prob. 2CFUCh. 3.1 - Prob. 3CFUCh. 3.1 - Prob. 4CFUCh. 3.1 - Prob. 5CFUCh. 3.1 - Prob. 6CFUCh. 3.1 - Prob. 7CFUCh. 3.1 - Prob. 8CFUCh. 3.1 - Prob. 9CFUCh. 3.1 - Prob. 10CFU
Ch. 3.1 - Prob. 11CFUCh. 3.1 - Prob. 12CFUCh. 3.1 - Prob. 13CFUCh. 3.1 - Prob. 14ECh. 3.1 - Prob. 15ECh. 3.1 - Prob. 16ECh. 3.1 - Prob. 17ECh. 3.1 - Prob. 18ECh. 3.1 - Prob. 19ECh. 3.1 - Prob. 20ECh. 3.1 - Prob. 21ECh. 3.1 - Prob. 22ECh. 3.1 - Prob. 23ECh. 3.1 - Prob. 24ECh. 3.1 - Prob. 25ECh. 3.1 - Prob. 26ECh. 3.1 - Prob. 27ECh. 3.1 - Prob. 28ECh. 3.1 - Prob. 29ECh. 3.1 - Prob. 30ECh. 3.1 - Prob. 31ECh. 3.1 - Prob. 32ECh. 3.1 - Prob. 33ECh. 3.1 - Prob. 34ECh. 3.1 - Prob. 35ECh. 3.1 - Prob. 36ECh. 3.1 - Prob. 37ECh. 3.1 - Prob. 38ECh. 3.1 - Prob. 39ECh. 3.1 - Prob. 40ECh. 3.1 - Prob. 41ECh. 3.1 - Prob. 42ECh. 3.1 - Prob. 43ECh. 3.1 - Prob. 44ECh. 3.1 - Prob. 45ECh. 3.1 - Prob. 46ECh. 3.1 - Prob. 47ECh. 3.1 - Prob. 48ECh. 3.1 - Prob. 49ECh. 3.1 - Prob. 50ECh. 3.2 - Prob. 1CFUCh. 3.2 - Prob. 2CFUCh. 3.2 - Prob. 3CFUCh. 3.2 - Prob. 4CFUCh. 3.2 - Prob. 5CFUCh. 3.2 - Prob. 6CFUCh. 3.2 - Prob. 7CFUCh. 3.2 - Prob. 8CFUCh. 3.2 - Prob. 9CFUCh. 3.2 - Prob. 10CFUCh. 3.2 - Prob. 11CFUCh. 3.2 - Prob. 12CFUCh. 3.2 - Prob. 13ECh. 3.2 - Prob. 14ECh. 3.2 - Prob. 15ECh. 3.2 - Prob. 16ECh. 3.2 - Prob. 17ECh. 3.2 - Prob. 18ECh. 3.2 - Prob. 19ECh. 3.2 - Prob. 20ECh. 3.2 - Prob. 21ECh. 3.2 - Prob. 22ECh. 3.2 - Prob. 23ECh. 3.2 - Prob. 24ECh. 3.2 - Prob. 25ECh. 3.2 - Prob. 26ECh. 3.2 - Prob. 27ECh. 3.2 - Prob. 28ECh. 3.2 - Prob. 29ECh. 3.2 - Prob. 30ECh. 3.2 - Prob. 31ECh. 3.2 - Prob. 32ECh. 3.2 - Prob. 33ECh. 3.2 - Prob. 34ECh. 3.2 - Prob. 35ECh. 3.2 - Prob. 36ECh. 3.2 - Prob. 37ECh. 3.2 - Prob. 38ECh. 3.2 - Prob. 39ECh. 3.2 - Prob. 40ECh. 3.2 - Prob. 41ECh. 3.2 - Prob. 42ECh. 3.2 - Prob. 43ECh. 3.2 - Prob. 44ECh. 3.2 - Prob. 45ECh. 3.2 - Prob. 46ECh. 3.2 - Prob. 47ECh. 3.2 - Prob. 48ECh. 3.2 - Prob. 49ECh. 3.2 - Prob. 50ECh. 3.2 - Prob. 51ECh. 3.2 - Prob. 52ECh. 3.2 - Prob. 53ECh. 3.3 - Prob. 1CFUCh. 3.3 - Prob. 2CFUCh. 3.3 - Prob. 3CFUCh. 3.3 - Prob. 4CFUCh. 3.3 - Prob. 5CFUCh. 3.3 - Prob. 6CFUCh. 3.3 - Prob. 7CFUCh. 3.3 - Prob. 8CFUCh. 3.3 - Prob. 9CFUCh. 3.3 - Prob. 10CFUCh. 3.3 - Prob. 11CFUCh. 3.3 - Prob. 12CFUCh. 3.3 - Prob. 13ECh. 3.3 - Prob. 14ECh. 3.3 - Prob. 15ECh. 3.3 - Prob. 16ECh. 3.3 - Prob. 17ECh. 3.3 - Prob. 18ECh. 3.3 - Prob. 19ECh. 3.3 - Prob. 20ECh. 3.3 - Prob. 21ECh. 3.3 - Prob. 22ECh. 3.3 - Prob. 23ECh. 3.3 - Prob. 24ECh. 3.3 - Prob. 25ECh. 3.3 - Prob. 26ECh. 3.3 - Prob. 27ECh. 3.3 - Prob. 28ECh. 3.3 - Prob. 29ECh. 3.3 - Prob. 30ECh. 3.3 - Prob. 31ECh. 3.3 - Prob. 32ECh. 3.3 - Prob. 33ECh. 3.3 - Prob. 34ECh. 3.3 - Prob. 35ECh. 3.3 - Prob. 36ECh. 3.3 - Prob. 37ECh. 3.3 - Prob. 38ECh. 3.3 - Prob. 39ECh. 3.3 - Prob. 40ECh. 3.3 - Prob. 41ECh. 3.3 - Prob. 42ECh. 3.3 - Prob. 43ECh. 3.3 - Prob. 44ECh. 3.3 - Prob. 45ECh. 3.3 - Prob. 46ECh. 3.3 - Prob. 47ECh. 3.3 - Prob. 48ECh. 3.3 - Prob. 49ECh. 3.3 - Prob. 50ECh. 3.3 - Prob. 51ECh. 3.3 - Prob. 52ECh. 3.3 - Prob. 53ECh. 3.3 - Prob. 1MCQCh. 3.3 - Prob. 2MCQCh. 3.3 - Prob. 3MCQCh. 3.3 - Prob. 4MCQCh. 3.3 - Prob. 5MCQCh. 3.3 - Prob. 6MCQCh. 3.3 - Prob. 7MCQCh. 3.3 - Prob. 8MCQCh. 3.3 - Prob. 9MCQCh. 3.3 - Prob. 10MCQCh. 3.4 - Prob. 1CFUCh. 3.4 - Prob. 2CFUCh. 3.4 - Prob. 3CFUCh. 3.4 - Prob. 4CFUCh. 3.4 - Prob. 5CFUCh. 3.4 - Prob. 6CFUCh. 3.4 - Prob. 7CFUCh. 3.4 - Prob. 8CFUCh. 3.4 - Prob. 9CFUCh. 3.4 - Prob. 10CFUCh. 3.4 - Prob. 11CFUCh. 3.4 - Prob. 12CFUCh. 3.4 - Prob. 13CFUCh. 3.4 - Prob. 14CFUCh. 3.4 - Prob. 15ECh. 3.4 - Prob. 16ECh. 3.4 - Prob. 17ECh. 3.4 - Prob. 18ECh. 3.4 - Prob. 19ECh. 3.4 - Prob. 20ECh. 3.4 - Prob. 21ECh. 3.4 - Prob. 22ECh. 3.4 - Prob. 23ECh. 3.4 - Prob. 24ECh. 3.4 - Prob. 25ECh. 3.4 - Prob. 26ECh. 3.4 - Prob. 27ECh. 3.4 - Prob. 28ECh. 3.4 - Prob. 29ECh. 3.4 - Prob. 30ECh. 3.4 - Prob. 31ECh. 3.4 - Prob. 32ECh. 3.4 - Prob. 33ECh. 3.4 - Prob. 34ECh. 3.4 - Prob. 35ECh. 3.4 - Prob. 36ECh. 3.4 - Prob. 37ECh. 3.4 - Prob. 38ECh. 3.4 - Prob. 39ECh. 3.4 - Prob. 40ECh. 3.4 - Prob. 41ECh. 3.4 - Prob. 42ECh. 3.4 - Prob. 43ECh. 3.4 - Prob. 44ECh. 3.4 - Prob. 45ECh. 3.4 - Prob. 46ECh. 3.4 - Prob. 47ECh. 3.4 - Prob. 48ECh. 3.4 - Prob. 49ECh. 3.4 - Prob. 50ECh. 3.4 - Prob. 51ECh. 3.4 - Prob. 52ECh. 3.4 - Prob. 53ECh. 3.4 - Prob. 54ECh. 3.4 - Prob. 55ECh. 3.4 - Prob. 56ECh. 3.5 - Prob. 1CFUCh. 3.5 - Prob. 2CFUCh. 3.5 - Prob. 3CFUCh. 3.5 - Prob. 4CFUCh. 3.5 - Prob. 5CFUCh. 3.5 - Prob. 6CFUCh. 3.5 - Prob. 7CFUCh. 3.5 - Prob. 8CFUCh. 3.5 - Prob. 9CFUCh. 3.5 - Prob. 10CFUCh. 3.5 - Prob. 11CFUCh. 3.5 - Prob. 12ECh. 3.5 - Prob. 13ECh. 3.5 - Prob. 14ECh. 3.5 - Prob. 15ECh. 3.5 - Prob. 16ECh. 3.5 - Prob. 17ECh. 3.5 - Prob. 18ECh. 3.5 - Prob. 19ECh. 3.5 - Prob. 20ECh. 3.5 - Prob. 21ECh. 3.5 - Prob. 22ECh. 3.5 - Prob. 23ECh. 3.5 - Prob. 24ECh. 3.5 - Prob. 25ECh. 3.5 - Prob. 26ECh. 3.5 - Prob. 27ECh. 3.5 - Prob. 28ECh. 3.5 - Prob. 29ECh. 3.5 - Prob. 30ECh. 3.5 - Prob. 31ECh. 3.5 - Prob. 32ECh. 3.5 - Prob. 33ECh. 3.5 - Prob. 34ECh. 3.5 - Prob. 35ECh. 3.5 - Prob. 36ECh. 3.5 - Prob. 37ECh. 3.5 - Prob. 38ECh. 3.5 - Prob. 39ECh. 3.5 - Prob. 40ECh. 3.5 - Prob. 41ECh. 3.5 - Prob. 42ECh. 3.5 - Prob. 43ECh. 3.5 - Prob. 44ECh. 3.5 - Prob. 45ECh. 3.5 - Prob. 46ECh. 3.5B - Prob. 1GCECh. 3.5B - Prob. 2GCECh. 3.5B - Prob. 3GCECh. 3.5B - Prob. 4GCECh. 3.5B - Prob. 5GCECh. 3.5B - Prob. 6GCECh. 3.5B - Prob. 7GCECh. 3.5B - Prob. 8GCECh. 3.5B - Prob. 9GCECh. 3.5B - Prob. 10GCECh. 3.5B - Prob. 11GCECh. 3.5B - Prob. 12GCECh. 3.5B - Prob. 13GCECh. 3.5B - Prob. 14GCECh. 3.6 - Prob. 1CFUCh. 3.6 - Prob. 2CFUCh. 3.6 - Prob. 3CFUCh. 3.6 - Prob. 4CFUCh. 3.6 - Prob. 5CFUCh. 3.6 - Prob. 6CFUCh. 3.6 - Prob. 7CFUCh. 3.6 - Prob. 8CFUCh. 3.6 - Prob. 9CFUCh. 3.6 - Prob. 10CFUCh. 3.6 - Prob. 11CFUCh. 3.6 - Prob. 12CFUCh. 3.6 - Prob. 13ECh. 3.6 - Prob. 14ECh. 3.6 - Prob. 15ECh. 3.6 - Prob. 16ECh. 3.6 - Prob. 17ECh. 3.6 - Prob. 18ECh. 3.6 - Prob. 19ECh. 3.6 - Prob. 20ECh. 3.6 - Prob. 21ECh. 3.6 - Prob. 22ECh. 3.6 - Prob. 23ECh. 3.6 - Prob. 24ECh. 3.6 - Prob. 25ECh. 3.6 - Prob. 26ECh. 3.6 - Prob. 27ECh. 3.6 - Prob. 28ECh. 3.6 - Prob. 29ECh. 3.6 - Prob. 30ECh. 3.6 - Prob. 31ECh. 3.6 - Prob. 32ECh. 3.6 - Prob. 33ECh. 3.6 - Prob. 34ECh. 3.6 - Prob. 35ECh. 3.6 - Prob. 36ECh. 3.6 - Prob. 37ECh. 3.6 - Prob. 38ECh. 3.6 - Prob. 39ECh. 3.6 - Prob. 40ECh. 3.6 - Prob. 41ECh. 3.6 - Prob. 42ECh. 3.6 - Prob. 43ECh. 3.6 - Prob. 44ECh. 3.6 - Prob. 45ECh. 3.6 - Prob. 46ECh. 3.6 - Prob. 47ECh. 3.6 - Prob. 48ECh. 3.6 - Prob. 49ECh. 3.6 - Prob. 50ECh. 3.6 - Prob. 51ECh. 3.7 - Prob. 1CFUCh. 3.7 - Prob. 2CFUCh. 3.7 - Prob. 3CFUCh. 3.7 - Prob. 4CFUCh. 3.7 - Prob. 5CFUCh. 3.7 - Prob. 6CFUCh. 3.7 - Prob. 7CFUCh. 3.7 - Prob. 8CFUCh. 3.7 - Prob. 9CFUCh. 3.7 - Prob. 10CFUCh. 3.7 - Prob. 11CFUCh. 3.7 - Prob. 12CFUCh. 3.7 - Prob. 13CFUCh. 3.7 - Prob. 14ECh. 3.7 - Prob. 15ECh. 3.7 - Prob. 16ECh. 3.7 - Prob. 17ECh. 3.7 - Prob. 18ECh. 3.7 - Prob. 19ECh. 3.7 - Prob. 20ECh. 3.7 - Prob. 21ECh. 3.7 - Prob. 22ECh. 3.7 - Prob. 23ECh. 3.7 - Prob. 24ECh. 3.7 - Prob. 25ECh. 3.7 - Prob. 26ECh. 3.7 - Prob. 27ECh. 3.7 - Prob. 28ECh. 3.7 - Prob. 29ECh. 3.7 - Prob. 30ECh. 3.7 - Prob. 31ECh. 3.7 - Prob. 32ECh. 3.7 - Prob. 33ECh. 3.7 - Prob. 34ECh. 3.7 - Prob. 35ECh. 3.7 - Prob. 36ECh. 3.7 - Prob. 37ECh. 3.7 - Prob. 38ECh. 3.7 - Prob. 39ECh. 3.7 - Prob. 40ECh. 3.7 - Prob. 41ECh. 3.7 - Prob. 42ECh. 3.7 - Prob. 43ECh. 3.7 - Prob. 44ECh. 3.7 - Prob. 45ECh. 3.7 - Prob. 46ECh. 3.7 - Prob. 47ECh. 3.7 - Prob. 48ECh. 3.7 - Prob. 49ECh. 3.7 - Prob. 50ECh. 3.7 - Prob. 51ECh. 3.7 - Prob. 52ECh. 3.7 - Prob. 53ECh. 3.7 - Prob. 54ECh. 3.7 - Prob. 55ECh. 3.7 - Prob. 56ECh. 3.8 - Prob. 1CFUCh. 3.8 - Prob. 2CFUCh. 3.8 - Prob. 3CFUCh. 3.8 - Prob. 4CFUCh. 3.8 - Prob. 5CFUCh. 3.8 - Prob. 6CFUCh. 3.8 - Prob. 7CFUCh. 3.8 - Prob. 8CFUCh. 3.8 - Prob. 9CFUCh. 3.8 - Prob. 10CFUCh. 3.8 - Prob. 11CFUCh. 3.8 - Prob. 12CFUCh. 3.8 - Prob. 13ECh. 3.8 - Prob. 14ECh. 3.8 - Prob. 15ECh. 3.8 - Prob. 16ECh. 3.8 - Prob. 17ECh. 3.8 - Prob. 18ECh. 3.8 - Prob. 19ECh. 3.8 - Prob. 20ECh. 3.8 - Prob. 21ECh. 3.8 - Prob. 22ECh. 3.8 - Prob. 23ECh. 3.8 - Prob. 24ECh. 3.8 - Prob. 25ECh. 3.8 - Prob. 26ECh. 3.8 - Prob. 27ECh. 3.8 - Prob. 28ECh. 3.8 - Prob. 29ECh. 3.8 - Prob. 30ECh. 3.8 - Prob. 31ECh. 3.8 - Prob. 32ECh. 3.8 - Prob. 33ECh. 3.8 - Prob. 34ECh. 3.8 - Prob. 35ECh. 3.8 - Prob. 36ECh. 3.8 - Prob. 37ECh. 3.8 - Prob. 38ECh. 3.8 - Prob. 39ECh. 3 - Prob. 1SGACh. 3 - Prob. 2SGACh. 3 - Prob. 3SGACh. 3 - Prob. 4SGACh. 3 - Prob. 5SGACh. 3 - Prob. 6SGACh. 3 - Prob. 7SGACh. 3 - Prob. 8SGACh. 3 - Prob. 9SGACh. 3 - Prob. 10SGACh. 3 - Prob. 11SGACh. 3 - Prob. 12SGACh. 3 - Prob. 13SGACh. 3 - Prob. 14SGACh. 3 - Prob. 15SGACh. 3 - Prob. 16SGACh. 3 - Prob. 17SGACh. 3 - Prob. 18SGACh. 3 - Prob. 19SGACh. 3 - Prob. 20SGACh. 3 - Prob. 21SGACh. 3 - Prob. 22SGACh. 3 - Prob. 23SGACh. 3 - Prob. 24SGACh. 3 - Prob. 25SGACh. 3 - Prob. 26SGACh. 3 - Prob. 27SGACh. 3 - Prob. 28SGACh. 3 - Prob. 29SGACh. 3 - Prob. 30SGACh. 3 - Prob. 31SGACh. 3 - Prob. 32SGACh. 3 - Prob. 33SGACh. 3 - Prob. 34SGACh. 3 - Prob. 35SGACh. 3 - Prob. 36SGACh. 3 - Prob. 37SGACh. 3 - Prob. 38SGACh. 3 - Prob. 39SGACh. 3 - Prob. 40SGACh. 3 - Prob. 41SGACh. 3 - Prob. 42SGACh. 3 - Prob. 43SGACh. 3 - Prob. 44SGACh. 3 - Prob. 45SGACh. 3 - Prob. 46SGACh. 3 - Prob. 47SGACh. 3 - Prob. 48SGACh. 3 - Prob. 49SGACh. 3 - Prob. 50SGACh. 3 - Prob. 51SGACh. 3 - Prob. 52SGACh. 3 - Prob. 53SGACh. 3 - Prob. 54SGACh. 3 - Prob. 55SGACh. 3 - Prob. 56SGACh. 3 - Prob. 57SGACh. 3 - Prob. 58SGACh. 3 - Prob. 59SGACh. 3 - Prob. 60SGACh. 3 - Prob. 61SGACh. 3 - Prob. 1SAPCh. 3 - Prob. 2SAPCh. 3 - Prob. 3SAPCh. 3 - Prob. 4SAPCh. 3 - Prob. 5SAPCh. 3 - Prob. 6SAPCh. 3 - Prob. 7SAPCh. 3 - Prob. 8SAPCh. 3 - Prob. 9SAPCh. 3 - Prob. 10SAP

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