Determine if a graph is a function. Is this the graph of a function? No O Yes -B Ay +2 Q

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...
icon
Related questions
Question

Please do step by step so i can be able to understand?

### Determine if a Graph is a Function

---

#### Is this the graph of a function?

- ○ No
- ○ Yes

---

#### Graph Description:

The provided graph is a grid with an \( x \)-axis and a \( y \)-axis, both extending from -8 to 8. In the middle of the grid, there is a blue circle centered at the origin (0, 0) with a radius of 2 units. This means the circle extends from -2 to 2 on both the \( x \)-axis and \( y \)-axis. Each unit is represented by a small square in the grid.

To determine if this graph is a function, recall the definition of a function: **For each input (x-value), there must be exactly one output (y-value)**. In the case of this circle, any vertical line drawn through the circle will intersect the circle at two points. Hence, the given graph does not represent a function.
Transcribed Image Text:### Determine if a Graph is a Function --- #### Is this the graph of a function? - ○ No - ○ Yes --- #### Graph Description: The provided graph is a grid with an \( x \)-axis and a \( y \)-axis, both extending from -8 to 8. In the middle of the grid, there is a blue circle centered at the origin (0, 0) with a radius of 2 units. This means the circle extends from -2 to 2 on both the \( x \)-axis and \( y \)-axis. Each unit is represented by a small square in the grid. To determine if this graph is a function, recall the definition of a function: **For each input (x-value), there must be exactly one output (y-value)**. In the case of this circle, any vertical line drawn through the circle will intersect the circle at two points. Hence, the given graph does not represent a function.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning