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Concept explainers
(a)
To calculate: To find the coordinates of a second point on the graph of a function if the given point is on the graph and the function is even
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 78E
Second coordinate is
Explanation of Solution
Given: Point is
Formula Used:
Even Function: If the graph of function has symmetry about y-axis as shown below:
For point
Calculation:
Point is given as follows:
Since the function is even and point lies on graph.
Thus, coordinates of second point that lies on graph is as follows:
Conclusion:
Hence, second coordinate is
(b)
To calculate: To find the coordinates of a second point on the graph of a function if the given point is on the graph and the function is odd
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 78E
Second coordinate is
Explanation of Solution
Given: Point is
Formula Used:
Odd Function: If the graph of function has symmetry about origin as shown below:
For point
Calculation:
Point is given as follows:
Since the function is odd and point lies on graph.
Thus, coordinates of second point that lies on graph is as follows:
Conclusion:
Hence, second coordinate is
Chapter 1 Solutions
EBK PRECALCULUS W/LIMITS:GRAPH.APPROACH
- 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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