College Algebra (10th Edition)
10th Edition
ISBN: 9780321979476
Author: Michael Sullivan
Publisher: PEARSON
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Question
Chapter 5.3, Problem 10SB
To determine
To find: Analyzing the graph of polynomial function .
Step 1: Factor the numerator and denominator of . Find the domain of the rational number.
Step 2: Write in the lowest term.
Step 3: Find and plot the intercepts of the graph. Use multiplicity to determine the behavior of the graph of at each .
Step 4: Find the vertical asymptotes. Graph each vertical asymptote using a dashed line. Determine the behavior of the graph of on either side of each vertical asymptote.
Step 5: Find the horizontal or oblique asymptote, if one exists. Find points, if any, at which the graph of intersects this asymptote. Graph the asymptote using a dashed line. Plot any points at which the graph of intersects the asymptote.
Step 6: Use the zeros of the numerator and denominator of to divide the into intervals. Determine where the graph of is above or below the by choosing a number in each interval and evaluating there. Plot the points found.
Step 7: Use the results obtained in Steps 1 through 6 to graph .
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Chapter 5 Solutions
College Algebra (10th Edition)
Ch. 5.1 - Prob. 1AYPCh. 5.1 - Prob. 2AYPCh. 5.1 - Prob. 3AYPCh. 5.1 - Prob. 4AYPCh. 5.1 - Prob. 5AYPCh. 5.1 - Prob. 6AYPCh. 5.1 - Prob. 7CVCh. 5.1 - Prob. 8CVCh. 5.1 - Prob. 9CVCh. 5.1 - Prob. 10CV
Ch. 5.1 - Prob. 11CVCh. 5.1 - Prob. 12CVCh. 5.1 - Prob. 13CVCh. 5.1 - Prob. 14CVCh. 5.1 - Prob. 15CVCh. 5.1 - Prob. 16CVCh. 5.1 - Prob. 17SBCh. 5.1 - Prob. 18SBCh. 5.1 - Prob. 19SBCh. 5.1 - Prob. 20SBCh. 5.1 - Prob. 21SBCh. 5.1 - Prob. 22SBCh. 5.1 - Prob. 23SBCh. 5.1 - Prob. 24SBCh. 5.1 - Prob. 25SBCh. 5.1 - Prob. 26SBCh. 5.1 - Prob. 27SBCh. 5.1 - Prob. 28SBCh. 5.1 - Prob. 29SBCh. 5.1 - Prob. 30SBCh. 5.1 - Prob. 31SBCh. 5.1 - Prob. 32SBCh. 5.1 - Prob. 33SBCh. 5.1 - Prob. 34SBCh. 5.1 - Prob. 35SBCh. 5.1 - Prob. 36SBCh. 5.1 - Prob. 37SBCh. 5.1 - Prob. 38SBCh. 5.1 - Prob. 39SBCh. 5.1 - Prob. 40SBCh. 5.1 - Prob. 41SBCh. 5.1 - Prob. 42SBCh. 5.1 - Prob. 43SBCh. 5.1 - Prob. 44SBCh. 5.1 - Prob. 45SBCh. 5.1 - Prob. 46SBCh. 5.1 - Prob. 47SBCh. 5.1 - Prob. 48SBCh. 5.1 - Prob. 49SBCh. 5.1 - Prob. 50SBCh. 5.1 - Prob. 51SBCh. 5.1 - Prob. 52SBCh. 5.1 - Prob. 53SBCh. 5.1 - Prob. 54SBCh. 5.1 - Prob. 55SBCh. 5.1 - Prob. 56SBCh. 5.1 - Prob. 57SBCh. 5.1 - Prob. 58SBCh. 5.1 - Prob. 59SBCh. 5.1 - Prob. 60SBCh. 5.1 - 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Prob. 54SBCh. 5.3 - Prob. 55AECh. 5.3 - Prob. 56AECh. 5.3 - Prob. 57AECh. 5.3 - Prob. 58AECh. 5.3 - Prob. 59AECh. 5.3 - Prob. 60AECh. 5.3 - Prob. 61AECh. 5.3 - Prob. 62AECh. 5.3 - Prob. 63DWCh. 5.3 - Prob. 64DWCh. 5.3 - Prob. 65DWCh. 5.3 - Prob. 66DWCh. 5.3 - Prob. 67DWCh. 5.3 - Prob. 68DWCh. 5.3 - Prob. 69DWCh. 5.3 - Prob. 70RYKCh. 5.3 - Prob. 71RYKCh. 5.3 - Prob. 72RYKCh. 5.3 - Prob. 73RYKCh. 5.4 - Prob. 1AYPCh. 5.4 - Prob. 2AYPCh. 5.4 - Prob. 3CVCh. 5.4 - Prob. 4CVCh. 5.4 - Prob. 5SBCh. 5.4 - Prob. 6SBCh. 5.4 - Prob. 7SBCh. 5.4 - Prob. 8SBCh. 5.4 - Prob. 9SBCh. 5.4 - Prob. 10SBCh. 5.4 - Prob. 11SBCh. 5.4 - Prob. 12SBCh. 5.4 - Prob. 13SBCh. 5.4 - Prob. 14SBCh. 5.4 - Prob. 15SBCh. 5.4 - Prob. 16SBCh. 5.4 - Prob. 17SBCh. 5.4 - Prob. 18SBCh. 5.4 - Prob. 19SBCh. 5.4 - Prob. 20SBCh. 5.4 - Prob. 21SBCh. 5.4 - Prob. 22SBCh. 5.4 - Prob. 23SBCh. 5.4 - Prob. 24SBCh. 5.4 - Prob. 25SBCh. 5.4 - Prob. 26SBCh. 5.4 - Prob. 27SBCh. 5.4 - Prob. 28SBCh. 5.4 - Prob. 29SBCh. 5.4 - Prob. 30SBCh. 5.4 - Prob. 31SBCh. 5.4 - 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Introduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:9781305657960
Author:Joseph Gallian
Publisher:Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:9781285463247
Author:David Poole
Publisher:Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:9780135163078
Author:Michael Sullivan
Publisher:PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:9780980232776
Author:Gilbert Strang
Publisher:Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:9780077836344
Author:Julie Miller, Donna Gerken
Publisher:McGraw-Hill Education