Concept explainers
To find: the explanation of the domain and range for an ellipse with equation.
Answer to Problem 46HP
The domain and range for an ellipse with equation are
Explanation of Solution
Given information:
The given equation for an ellipse is
Concept used:
Write the standard form of the equation of the ellipse whose orientation is along the horizontal axis is,
The coordinate of the foci is
The value of
The vertices are at
Write the standard form of the equation of the ellipse whose orientation is along the vertical axis is,
The coordinate of the foci is
The vertices are at
The value of
The given equation of an ellipse is,
The equation as a function of
The expression in the radical is non-negative,
The domain of an ellipse is
The zero is the minimum value of the radical,
To calculated the value of
To calculate the value of
The function
The range for an ellipse is
Thus, the domain and range for an ellipse with equation are
Chapter 10 Solutions
Algebra 2
Additional Math Textbook Solutions
Linear Algebra and Its Applications (5th Edition)
College Algebra
College Algebra (7th Edition)
College Algebra
Elementary Algebra
- 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