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High School Math Calculus Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

To graph: the function.

To graph: the function.

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

Vertices Of An Ellipse

In the study of the conic section of the geometry, An ellipse is a plane curve surrounding two focal points, or foci where the set of all locus of points in the plane has their sum of the distances to the two foci is constant. On the ellipse curve, it is…

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Question

Chapter 3.7, Problem 40E

To determine

To graph: the function.

Expert Solution & Answer

Answer to Problem 40E

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.7, Problem 40E , additional homework tip 1

Explanation of Solution

Given information:

y=x2−1x2−2x+1

Calculation:

Simplify the function as follows:

y=x2−1x2−2x+1y=(x−1)(x+1)(x−1)2

The vertical asymptote is x=1 because, for this value the function becomes undefined.

Since the degree of numerator and that of denominator is same. So the horizontal asymptote is y=1 .

Now, make a table of values for the simplified function and plot a graph as follows:

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition, Chapter 3.7, Problem 40E , additional homework tip 2

Chapter 3.7, Problem 39E

Chapter 3.7, Problem 41E

Chapter 3 Solutions

Advanced Mathematical Concepts: Precalculus with Applications, Student Edition

Ch. 3.1 - Prob. 1CFU Ch. 3.1 - Prob. 2CFU Ch. 3.1 - Prob. 3CFU Ch. 3.1 - Prob. 4CFU Ch. 3.1 - Prob. 5CFU Ch. 3.1 - Prob. 6CFU Ch. 3.1 - Prob. 7CFU Ch. 3.1 - Prob. 8CFU Ch. 3.1 - Prob. 9CFU Ch. 3.1 - Prob. 10CFU

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

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What is Ellipse?; Author: Don't Memorise;https://www.youtube.com/watch?v=nzwCInIMlU4;License: Standard YouTube License, CC-BY