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{(4,3), (5,4),(6,6)} Is this a function? Yes No The domain is { (Use a comma to separate answers as needed.)

{(4,3), (5,4),(6,6)} Is this a function? Yes No The domain is { (Use a comma to separate answers as needed.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Determine whether the relation is a function. Give the domain and the range for the relation.
 
​{(4​,3​),(5​,4​),(6​,6​)}
 
 
**Determine whether the relation is a function. Give the domain and the range for the relation.** **Given Relation:** \(\{(4,3), (5,4), (6,6)\}\) --- **Is this a function?** - ○ Yes - ○ No **The domain is \(\{\}\).** *(Use a comma to separate answers as needed.)* **The range is \(\{\}\).** *(Use a comma to separate answers as needed.)* **Explanation of Diagram:** The text presents a set of ordered pairs, \((4,3), (5,4), (6,6)\), and prompts a determination of whether this set constitutes a function. A function is defined as a relation where each element of the domain (the set of all first components of the ordered pairs) is associated with exactly one element of the range (the set of all second components). 1. **Domain:** The first components of each ordered pair, hence \(\{4, 5, 6\}\). 2. **Range:** The second components of each ordered pair, hence \(\{3, 4, 6\}\). The user is required to fill in their answers in the provided blank spaces for whether it is a function, the domain, and the range.
Transcribed Image Text:**Determine whether the relation is a function. Give the domain and the range for the relation.** **Given Relation:** \(\{(4,3), (5,4), (6,6)\}\) --- **Is this a function?** - ○ Yes - ○ No **The domain is \(\{\}\).** *(Use a comma to separate answers as needed.)* **The range is \(\{\}\).** *(Use a comma to separate answers as needed.)* **Explanation of Diagram:** The text presents a set of ordered pairs, \((4,3), (5,4), (6,6)\), and prompts a determination of whether this set constitutes a function. A function is defined as a relation where each element of the domain (the set of all first components of the ordered pairs) is associated with exactly one element of the range (the set of all second components). 1. **Domain:** The first components of each ordered pair, hence \(\{4, 5, 6\}\). 2. **Range:** The second components of each ordered pair, hence \(\{3, 4, 6\}\). The user is required to fill in their answers in the provided blank spaces for whether it is a function, the domain, and the range.
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