To find the domain and range of the set of points $S = \{ (7, 0), (3, -5), (8, 2), (2, 8) \}$:

Domain

The domain consists of the x-coordinates of the points in the set:

• From $(7, 0)$, the x-coordinate is 7.
• From $(3, -5)$, the x-coordinate is 3.
• From $(8, 2)$, the x-coordinate is 8.
• From $(2, 8)$, the x-coordinate is 2.

Thus, the domain is: $\text{Domain} = \{2, 3, 7, 8\}$

Range

The range consists of the y-coordinates of the points in the set:

• From $(7, 0)$, the y-coordinate is 0.
• From $(3, -5)$, the y-coordinate is -5.
• From $(8, 2)$, the y-coordinate is 2.
• From $(2, 8)$, the y-coordinate is 8.

Thus, the range is: $\text{Range} = \{-5, 0, 2, 8\}$

Summary

• Domain: $\{2, 3, 7, 8\}$
• Range: $\{-5, 0, 2, 8\}$

Would you like more details or have any questions? Here are some related questions you might consider:

1. How can I represent the set of points on a graph?
2. What is the significance of domain and range in functions?
3. Can you explain how to find the domain and range for a different set of points?
4. What are the differences between discrete and continuous domains?
5. How can I determine if a relation is a function based on its domain and range?

Tip: When dealing with sets of points, always list the x-coordinates for the domain and y-coordinates for the range separately to avoid confusion.