Question

Determine whether the relation is a function. Give the domain and the range for the relation.
​{(3​,1​),(4​,2​),(5​,5​)}
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Part 1
Is this a​ function?
No
Yes
Your answer is correct.
Part 2
The domain is ​{
  
enter your response here​}.
​(Use a comma to separate answers as​ needed.)

Answer 1

To determine if the relation \(\{(3, 1), (4, 2), (5, 5)\}\) is a function, we must check if each input (or x-value) is associated with exactly one output (or y-value).

In this relation:
- The x-value 3 is paired with the y-value 1.
- The x-value 4 is paired with the y-value 2.
- The x-value 5 is paired with the y-value 5.

Since each x-value is unique and corresponds to exactly one y-value, the relation is indeed a function.

Now, let's find the domain and the range:

**Part 2:**
- The **domain** consists of all the x-values in the relation:
\[
\{3, 4, 5\}
\]

- The **range** consists of all the y-values in the relation:
\[
\{1, 2, 5\}
\]

### Summary:
- **Is this a function?** Yes
- **The domain is:** \{3, 4, 5\}
- **The range is:** \{1, 2, 5\}