Question

Find the domain and range.
​{(2​, 7​), ​(2​, 5​), ​(11​, negative 7​), ​(6​, negative 8​), ​(negative 4​, negative 3​)}

Answers

Answered by GPT-4o mini
To find the domain and range of the set of points \( \{(2, 7), (2, 5), (11, -7), (6, -8), (-4, -3)\} \):

**Domain**: The domain consists of all the unique x-coordinates from the set of points.

From the points:
- The x-coordinates are: \(2, 2, 11, 6, -4\)

The unique x-coordinates (domain) are:
- \( \{-4, 2, 6, 11\} \)

**Range**: The range consists of all the unique y-coordinates from the set of points.

From the points:
- The y-coordinates are: \(7, 5, -7, -8, -3\)

The unique y-coordinates (range) are:
- \( \{-8, -7, -3, 5, 7\} \)

Therefore, the domain and range are:
- **Domain**: \( \{-4, 2, 6, 11\} \)
- **Range**: \( \{-8, -7, -3, 5, 7\} \)
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