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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Question
![**Domain and Range of Relations**
In this exercise, you are required to find the domain and range of the relation shown in the given graph. Additionally, you need to determine whether the relation is a function.
**Graph Analysis**
On the right side of the text, there is a graph with points plotted on a Cartesian plane. The x-axis and y-axis are marked with integers, and the points are positioned at specific coordinates.
**Instructions**
1. **Identify the Domain and Range:**
- The domain is the set of all x-coordinates (inputs) of the relation.
- The range is the set of all y-coordinates (outputs) of the relation.
2. **Determine if the Relation is a Function:**
- A relation is a function if each input has exactly one output.
**Inputs**
Enter the domain of the relation in the designated text box. Use commas to separate your answers if there are multiple points.
**Answer Submission**
After identifying the domain, type your answer into the input box and click "Check Answer."
**Progress Indicator**
- **Parts Remaining:** The progress bar below indicates the remaining parts of the exercise that need to be completed.
**Example:**
For a graph with points (2, 5), (3, 4), and (2, -1):
- The domain is {2, 3}, since these are the unique x-coordinates.
- The range is {5, 4, -1}, corresponding to the y-coordinates.
- This relation is not a function because the x-coordinate 2 is associated with more than one y-coordinate (5 and -1).
Please enter your answers and verify them by clicking the "Check Answer" button.
[Check Answer]
**Course Tools**
- **Clear All:** Use this button to reset your inputs.
- **Discussions and College Success Tips:** Navigate to these resources for further assistance and advice.
Good luck with your exercise!](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07ffc2fe-a7c4-49e6-9cc9-237c299b4e4c%2F51018762-923e-49c2-85f5-9ae833780bef%2Fzr8qsif_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:**Domain and Range of Relations**
In this exercise, you are required to find the domain and range of the relation shown in the given graph. Additionally, you need to determine whether the relation is a function.
**Graph Analysis**
On the right side of the text, there is a graph with points plotted on a Cartesian plane. The x-axis and y-axis are marked with integers, and the points are positioned at specific coordinates.
**Instructions**
1. **Identify the Domain and Range:**
- The domain is the set of all x-coordinates (inputs) of the relation.
- The range is the set of all y-coordinates (outputs) of the relation.
2. **Determine if the Relation is a Function:**
- A relation is a function if each input has exactly one output.
**Inputs**
Enter the domain of the relation in the designated text box. Use commas to separate your answers if there are multiple points.
**Answer Submission**
After identifying the domain, type your answer into the input box and click "Check Answer."
**Progress Indicator**
- **Parts Remaining:** The progress bar below indicates the remaining parts of the exercise that need to be completed.
**Example:**
For a graph with points (2, 5), (3, 4), and (2, -1):
- The domain is {2, 3}, since these are the unique x-coordinates.
- The range is {5, 4, -1}, corresponding to the y-coordinates.
- This relation is not a function because the x-coordinate 2 is associated with more than one y-coordinate (5 and -1).
Please enter your answers and verify them by clicking the "Check Answer" button.
[Check Answer]
**Course Tools**
- **Clear All:** Use this button to reset your inputs.
- **Discussions and College Success Tips:** Navigate to these resources for further assistance and advice.
Good luck with your exercise!
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