Whats the domain and range of this relation (10,9),(-2,-5),(7,10),(3,0)

The domain and range of a relation are the sets of all possible \(x\)-values and \(y\)-values, respectively, for the given points.

Given the points \((10, 9)\), \((-2, -5)\), \((7, 10)\), and \((3, 0)\):

- **Domain**: The domain is the set of all \(x\)-values.
  
  \[
  \text{Domain} = \{10, -2, 7, 3\}
  \]

- **Range**: The range is the set of all \(y\)-values.
  
  \[
  \text{Range} = \{9, -5, 10, 0\}
  \]

So, the domain of the relation is \(\{10, -2, 7, 3\}\) and the range is \(\{9, -5, 10, 0\}\).

Would you like more details or have any other questions?

Here are 5 related questions you might find interesting:
1. How would the domain and range change if one more point was added to the relation?
2. What is the difference between the domain and range of a function versus a relation?
3. Can the domain or range of a relation be a continuous interval?
4. How would you determine if this relation is a function?
5. How can you graph the relation to visualize the domain and range?

**Tip:** In a function, each \(x\)-value (from the domain) is associated with exactly one \(y\)-value (from the range). This isn't necessarily the case for a general relation.

Explore the domain and range of a relation with examples like (10, 9), (-2, -5), (7, 10), and (3, 0). Learn how to determine the domain as the set of all x-values and the range as the set of all y-values in a relation. Suitable for high school students studying relations and mathematical sets.

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