1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process. 2)Is there any value(s) of the domain of x2 + y2 = 8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function.
1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process. 2)Is there any value(s) of the domain of x2 + y2 = 8 that passes the vertical line test? If so, name the value(s) and state whether or not the existence of this value makes this relation a function.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
Related questions
Question
1) Use algebraic means to show that x2 + y2 = 8 is not a function. Explain your process.
2)Is there any value(s) of the domain of x2 + y2 = 8 that passes the vertical line test? If so,
name the value(s) and state whether or not the existence of this value makes this relation a
function.

Transcribed Image Text:### The Unit Circle with Labeled Coordinates
**Diagram Description:**
The diagram represents a unit circle graph centered at the origin (0,0) of the coordinate plane. The circle’s radius is √8, approximately 2.828 units. The x-axis and y-axis are indicated with dark bold lines intersecting at the origin, and the grid is composed of squares, each representing one unit.
**Labeled Points:**
1. **(0, 2.828):** This point is located at the intersection of the unit circle and the positive y-axis.
2. **(2.828, 0):** This point is situated at the intersection of the unit circle and the positive x-axis.
3. **(0, -2.828):** This point lies at the intersection of the unit circle and the negative y-axis.
4. **(-2.828, 0):** This point is found at the intersection of the unit circle and the negative x-axis.
**Explanation:**
Each of these labeled points represents the coordinates where the unit circle intersects with the x and y-axes. The value 2.828 is derived from calculating the radius (or distance from the center to the edge of the circle), which is √8. These points are crucial in understanding the symmetry and properties of the unit circle, which is foundational to trigonometry and various applications in mathematics.
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