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Concept explainers
To sketch:the graph of the given equation
![Check Mark](/static/check-mark.png)
Answer to Problem 45RE
The Equation is symmetric with respect to the origin and the points to locate the graphis
Explanation of Solution
Given:
Calculation:
X-axis: To test for symmetry with respect to x-axis, replace y by −y in the equation.
Since,
Y-axis: To test for symmetry with respect to y-axis, replace x by −x in the equation,
Since,
Origin: To test for symmetry with respect to origin, replace x by −x and y by −y, since,
To graph by hand, use the equation to obtain several points on the graph. Because of the symmetry with respect to the origin, need to locate points on the graph for which
|
To graph the equation
The graph of
Conclusion:
Therefore, the equation is symmetric with respect to the origin and the points to locate the graph is
Chapter 1 Solutions
Precalculus
Additional Math Textbook Solutions
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus and Its Applications (11th Edition)
Calculus & Its Applications (14th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning
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