To find: The difference between the domain of an ellipse and a hyperbola.
The difference between the domain of hyperbolas and ellipses is:
The domain of hyperbolas is the set of all real numbers or union of disconnected intervals. But the domain of ellipse is a finite interval.
Concepts used:
The domain is the set of all
Explanation:
Consider some graphs of hyperbolas.
The domain of the above hyperbola is the set of
The domain of the above graph is the set of all real numbers.
Now consider some graph of ellipses.
The domain of the above ellipse is the set of all
The domain of the above ellipse is the set of all
Note that the domain of hyperbolas is the set of all real numbers or union of disconnected intervals. But the domain of ellipse is a finite interval.
Conclusion: The difference between the domain of hyperbolas and ellipses is:
The domain of hyperbolas is the set of all real numbers or union of disconnected intervals. But the domain of ellipse is a finite interval.
Chapter 10 Solutions
High School Math 2015 Common Core Algebra 2 Student Edition Grades 10/11
- Algebra and Trigonometry (6th Edition)AlgebraISBN:9780134463216Author:Robert F. BlitzerPublisher:PEARSONContemporary Abstract AlgebraAlgebraISBN:9781305657960Author:Joseph GallianPublisher:Cengage LearningLinear Algebra: A Modern IntroductionAlgebraISBN:9781285463247Author:David PoolePublisher:Cengage Learning
- Algebra And Trigonometry (11th Edition)AlgebraISBN:9780135163078Author:Michael SullivanPublisher:PEARSONIntroduction to Linear Algebra, Fifth EditionAlgebraISBN:9780980232776Author:Gilbert StrangPublisher:Wellesley-Cambridge PressCollege Algebra (Collegiate Math)AlgebraISBN:9780077836344Author:Julie Miller, Donna GerkenPublisher:McGraw-Hill Education