(a) Find the domain and range of the relation. (b) Determine whether the relation is a function. {(4,1), (16,7), (13,2), (14,2)) (a) The domain is 4,16,13,14). The range is 1,7,2,2. (b) Is the relation a function? OYes No ہے ...

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 the Domain and Range of a Relation**

The given relation is:  
\(\{(4,1), (16,7), (13,2), (14,2)\}\)

**(a) Determine the Domain and Range:**

- **Domain:**  
  The domain is the set of all first elements (x-values) of the ordered pairs.  
  \(\{4, 16, 13, 14\}\)

- **Range:**  
  The range is the set of all second elements (y-values) of the ordered pairs.  
  \(\{1, 7, 2\}\)

**(b) Is the Relation a Function?**

A relation is a function if every element in the domain maps to exactly one element in the range.  
- **The Relation is not a Function:**  
  The value 2 in the range is mapped from both 13 and 14 in the domain.

**Select the correct answer:**

- \(\circ\) Yes  
- \(\bullet\) No
Transcribed Image Text:**Finding the Domain and Range of a Relation** The given relation is: \(\{(4,1), (16,7), (13,2), (14,2)\}\) **(a) Determine the Domain and Range:** - **Domain:** The domain is the set of all first elements (x-values) of the ordered pairs. \(\{4, 16, 13, 14\}\) - **Range:** The range is the set of all second elements (y-values) of the ordered pairs. \(\{1, 7, 2\}\) **(b) Is the Relation a Function?** A relation is a function if every element in the domain maps to exactly one element in the range. - **The Relation is not a Function:** The value 2 in the range is mapped from both 13 and 14 in the domain. **Select the correct answer:** - \(\circ\) Yes - \(\bullet\) No
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