Question

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Part 1
Find the domain and the range of the relation and determine whether it is a function.
​{(9​,3​),(minus6​,minus3​),(1​,minus1​),(3​,minus7​)}   
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Part 1
The domain is ​{
  
enter your response here​}.

Answer 1

To find the domain and range of the given relation \(\{(9, 3), (-6, -3), (1, -1), (3, -7)\}\), we will extract the values of the first and second elements of each ordered pair.

**Domain:**
The domain consists of the first elements of the ordered pairs:

- From \((9, 3)\), we take \(9\)
- From \((-6, -3)\), we take \(-6\)
- From \((1, -1)\), we take \(1\)
- From \((3, -7)\), we take \(3\)

Thus, the domain is:
\[
\{9, -6, 1, 3\}
\]

**Range:**
The range consists of the second elements of the ordered pairs:

- From \((9, 3)\), we take \(3\)
- From \((-6, -3)\), we take \(-3\)
- From \((1, -1)\), we take \(-1\)
- From \((3, -7)\), we take \(-7\)

Thus, the range is:
\[
\{3, -3, -1, -7\}
\]

**Function Check:**
A relation is a function if each element of the domain is associated with exactly one element in the range. Since all the first elements (9, -6, 1, 3) are unique in the given ordered pairs, this relation is indeed a function.

**Final Answers:**
- The domain is \(\{9, -6, 1, 3\}\).
- The range is \(\{3, -3, -1, -7\}\).
- The relation is a function.