Homework Help is Here – Start Your Trial Now!
Math
Algebra
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)
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,...
See similar textbooks
icon
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. 

### 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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Follow-up Questions
Read through expert solutions to related follow-up questions below.
Follow-up Question

Can you explain the second question/step 2 more clearly? I'm having trouble following what to do.

Solution
Bartleby Expert
SEE SOLUTION
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education
SEE MORE TEXTBOOKS