Answer:
Domain: \(\{3, 5, 7, 8\}\)
Range: \(\{6, 7, 9\}\)
Explanation:
In this problem, we are asked to find the domain and range of a set of points in a two-dimensional space. The domain consists of the x-coordinates of the points, while the range consists of the y-coordinates.
Steps:
- Identify the Points: The given set of points is \(\{(3, 6), (5, 7), (7, 7), (8, 9)\}\).
- Extract the Domain:
- The domain is formed by taking all the unique x-coordinates from the points:
- From \((3, 6)\), we get \(3\).
- From \((5, 7)\), we get \(5\).
- From \((7, 7)\), we get \(7\).
- From \((8, 9)\), we get \(8\).
- Thus, the domain is \(\{3, 5, 7, 8\}\).
- Extract the Range:
- The range is formed by taking all the unique y-coordinates from the points:
- From \((3, 6)\), we get \(6\).
- From \((5, 7)\), we get \(7\).
- From \((7, 7)\), we get \(7\) again (but we only list unique values).
- From \((8, 9)\), we get \(9\).
- Thus, the range is \(\{6, 7, 9\}\).
In conclusion, the domain consists of the unique x-values, and the range consists of the unique y-values from the given set of points.