Question

List the domain and range of the relation.
​{(4​,negative 3​), ​(9​,9​), ​(0​,negative 3​), ​(9​,1​) ​(4​,3​)}
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Part 1
The domain is StartSet nothing EndSet
  
.​ (Use a comma to separate answers as​ needed.)

Answers

GPT-4o mini
To identify the domain and range of the given relation, we take note of the ordered pairs provided:

\[
\{(4, -3), (9, 9), (0, -3), (9, 1), (4, 3)\}
\]

**Domain**: The domain consists of all the first elements (x-values) of the ordered pairs.

From the pairs:
- The x-values are: \(4, 9, 0, 9, 4\)

Unique x-values (removing duplicates):
- \(0, 4, 9\)

So, the domain is:
\[
\text{Domain} = \{0, 4, 9\}
\]

**Range**: The range consists of all the second elements (y-values) of the ordered pairs.

From the pairs:
- The y-values are: \(-3, 9, -3, 1, 3\)

Unique y-values (removing duplicates):
- \(-3, 9, 1, 3\)

So, the range is:
\[
\text{Range} = \{-3, 1, 3, 9\}
\]

### Final answer:
- **Domain**: \(\{0, 4, 9\}\)
- **Range**: \(\{-3, 1, 3, 9\}\)