### Understanding Relations and Functions#### Find the Domain and Range of a Relation and Determine if it is a FunctionIn the given problem, you are required to:1. Determine the domain of the given relation.2. Determine the range of the given relation.3. Determine whether the given relation is a function.You are provided with the tools to input your answers:- **The domain is \{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \}**. *(Type each answer only once. Use a comma to separate answers as needed.)* - **The range is \{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \}**. *(Type each answer only once. Use a comma to separate answers as needed.)* - **Is the given relation a function?** - Yes - No *(Click to select your answer(s).)*#### Graph ExplanationA graph is attached to help you understand the relation. The graph consists of:- **Axes**: The horizontal axis is labeled as $ x $ and the vertical axis is labeled as $ y $. Both axes have markings from -6 to 6 in increments of 1.- **Identified Points**: Various points are plotted across the Cartesian plane.From the graph, you should identify the $ x $-coordinates and $ y $-coordinates of the plotted points to determine the domain (set of $ x $-coordinates) and range (set of $ y $-coordinates) respectively. #### Steps to Determine if the Relation is a Function1. **Identify all plotted points** on the graph.2. **Write down the $ x $-coordinates** of each point to form the domain.3. **Write down the $ y $-coordinates** of each point to form the range.4. **Check each $ x $-coordinate** to see if it maps to exactly one $ y $-coordinate (if so, it's a function; otherwise, it's not).Use this structured approach to find your answers and determine whether the given relation is a function.

Answered: Image /qna-images/answer/e8b806ec-436d-4873-8aa0-7ea7e7ba5dab.jpg

Find the domain and the range of the relation sroWN function. give 2- -6-4-2 46 The domain is } (Type each answer only once. Use a comma to separate answers as needed.) The range is {} (Type each answer only once. Use a comma to separate answers as needed.) Is the given relation a function? No Click to select your answer(s). 2.

Find the domain and the range of the relation sroWN function. give 2- -6-4-2 46 The domain is } (Type each answer only once. Use a comma to separate answers as needed.) The range is {} (Type each answer only once. Use a comma to separate answers as needed.) Is the given relation a function? No Click to select your answer(s). 2.

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,...

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Question

### Understanding Relations and Functions

#### Find the Domain and Range of a Relation and Determine if it is a Function

In the given problem, you are required to:

1. Determine the domain of the given relation.
2. Determine the range of the given relation.
3. Determine whether the given relation is a function.

You are provided with the tools to input your answers:

- **The domain is \{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \}**.
*(Type each answer only once. Use a comma to separate answers as needed.)*

- **The range is \{ \_\_\_\_\_\_\_\_\_\_\_\_\_\_ \}**.
*(Type each answer only once. Use a comma to separate answers as needed.)*

- **Is the given relation a function?**
- Yes
- No

*(Click to select your answer(s).)*

#### Graph Explanation

A graph is attached to help you understand the relation. The graph consists of:

- **Axes**: The horizontal axis is labeled as $ x $ and the vertical axis is labeled as $ y $. Both axes have markings from -6 to 6 in increments of 1.
- **Identified Points**: Various points are plotted across the Cartesian plane.

From the graph, you should identify the $ x $-coordinates and $ y $-coordinates of the plotted points to determine the domain (set of $ x $-coordinates) and range (set of $ y $-coordinates) respectively.

#### Steps to Determine if the Relation is a Function

1. **Identify all plotted points** on the graph.
2. **Write down the $ x $-coordinates** of each point to form the domain.
3. **Write down the $ y $-coordinates** of each point to form the range.
4. **Check each $ x $-coordinate** to see if it maps to exactly one $ y $-coordinate (if so, it's a function; otherwise, it's not).

Use this structured approach to find your answers and determine whether the given relation is a function.

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