50 40 30 20 10- 20 10 40 -30 20 30 -20 40 -50 17. Find the domain and range of the relation shown. Use interval notation where appropriate. O A. Domain (-20, -10, 0, 10, 15), range (-40, 0) O B. Domain (-40, 20), range -20, 151 O C. Domain 10. -20, -40, 201, range (-20, -10, 0, 10, 15) O D. Domain -20, 151. range -40, 201 a Mark for review (Will be highlighted on the review page) Prevus Ouestion Next Question

Algebra and Trigonometry (6th Edition)
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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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### Finding Domain and Range of a Given Relation

#### Problem Statement:
*Question 17:*  
Find the domain and range of the relation shown. Use interval notation where appropriate. The options are:

A. Domain: \([-20, -10, 0, 10, 15]\), Range: \([-40, 0]\)  
B. Domain: \([-40, -20]\), Range: \([20, 15]\)  
C. Domain: \([-10, 20, 40]\), Range: \([-20, -10, 0, 10, 15]\)  
D. Domain: \([-20, 15]\), Range: \([-40, 20]\)

#### Diagram Explanation:
The relation is depicted as a series of points on a Cartesian plane. The x-axis ranges from \(-30\) to \(30\), and the y-axis ranges from \(-50\) to \( 50\). Each of the significant points are plotted on the graph. Notable points include:

- (-20, -40)
- (0, 0)
- (10, 10)
- (20, 40)

Based on these points:

- **Domain** refers to all possible x-values (horizontal values) in the relation.
- **Range** refers to all possible y-values (vertical values) in the relation.

#### Evaluating the Options:
- **Option A:**
  - Domain: \([-20, -10, 0, 10, 15]\)
    - Includes some x-values not present on the graph (e.g., -10, 15).
  - Range: \([-40, 0]\)
    - Doesn’t include all y-values shown on the graph (e.g., 10, 40).
- **Option B:**
  - Domain: \([-40, -20]\)
    - Contains values not relevant to the relation's points.
  - Range: \([20, 15]\)
    - Missing relevant y-values.
- **Option C:**
  - Domain: \([-10, 20, 40]\)
    - Not all points within observed x-values.
  - Range: \([-20, -10, 0, 10, 15]\)
    - Contains values irrelevant to the relation.
- **Option D:**
  - Domain: \([-20,
Transcribed Image Text:### Finding Domain and Range of a Given Relation #### Problem Statement: *Question 17:* Find the domain and range of the relation shown. Use interval notation where appropriate. The options are: A. Domain: \([-20, -10, 0, 10, 15]\), Range: \([-40, 0]\) B. Domain: \([-40, -20]\), Range: \([20, 15]\) C. Domain: \([-10, 20, 40]\), Range: \([-20, -10, 0, 10, 15]\) D. Domain: \([-20, 15]\), Range: \([-40, 20]\) #### Diagram Explanation: The relation is depicted as a series of points on a Cartesian plane. The x-axis ranges from \(-30\) to \(30\), and the y-axis ranges from \(-50\) to \( 50\). Each of the significant points are plotted on the graph. Notable points include: - (-20, -40) - (0, 0) - (10, 10) - (20, 40) Based on these points: - **Domain** refers to all possible x-values (horizontal values) in the relation. - **Range** refers to all possible y-values (vertical values) in the relation. #### Evaluating the Options: - **Option A:** - Domain: \([-20, -10, 0, 10, 15]\) - Includes some x-values not present on the graph (e.g., -10, 15). - Range: \([-40, 0]\) - Doesn’t include all y-values shown on the graph (e.g., 10, 40). - **Option B:** - Domain: \([-40, -20]\) - Contains values not relevant to the relation's points. - Range: \([20, 15]\) - Missing relevant y-values. - **Option C:** - Domain: \([-10, 20, 40]\) - Not all points within observed x-values. - Range: \([-20, -10, 0, 10, 15]\) - Contains values irrelevant to the relation. - **Option D:** - Domain: \([-20,
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