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Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Give equation

### Ellipse Graph Explanation

This graph displays an ellipse centered at the origin of a Cartesian coordinate system. The major and minor axes are aligned with the x and y axes, respectively.

#### Axes
- **X-axis**: Horizontal axis, labeled from -7 to 7.
- **Y-axis**: Vertical axis, labeled from -5 to 5.

#### Ellipse Characteristics
- The ellipse is elongated along the x-axis, indicating that the major axis is horizontal.
- The semi-major axis extends 6 units from the center (origin) along the x-axis, reaching up to x = 6 and x = -6.
- The semi-minor axis extends 4 units from the center along the y-axis, reaching up to y = 4 and y = -4.

The grid helps in visualizing the symmetry and dimensions of the ellipse. The ellipse intersects the x-axis at points (-6, 0) and (6, 0), and the y-axis at points (0, -4) and (0, 4).
Transcribed Image Text:### Ellipse Graph Explanation This graph displays an ellipse centered at the origin of a Cartesian coordinate system. The major and minor axes are aligned with the x and y axes, respectively. #### Axes - **X-axis**: Horizontal axis, labeled from -7 to 7. - **Y-axis**: Vertical axis, labeled from -5 to 5. #### Ellipse Characteristics - The ellipse is elongated along the x-axis, indicating that the major axis is horizontal. - The semi-major axis extends 6 units from the center (origin) along the x-axis, reaching up to x = 6 and x = -6. - The semi-minor axis extends 4 units from the center along the y-axis, reaching up to y = 4 and y = -4. The grid helps in visualizing the symmetry and dimensions of the ellipse. The ellipse intersects the x-axis at points (-6, 0) and (6, 0), and the y-axis at points (0, -4) and (0, 4).
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