how to find the domain and range of the given relation {(-4,8),(7,9),(4,-5),(-5,4)}

To find the **domain** and **range** of a given relation, we follow these steps:

1. **Domain**: The domain consists of all the first elements (x-coordinates) in each ordered pair.
2. **Range**: The range consists of all the second elements (y-coordinates) in each ordered pair.

For the relation \{(-4, 8), (7, 9), (4, -5), (-5, 4)\}:

### Domain
Extract the x-values from each pair:
- From (-4, 8), the x-value is -4.
- From (7, 9), the x-value is 7.
- From (4, -5), the x-value is 4.
- From (-5, 4), the x-value is -5.

Thus, the domain is:
\[ \text{Domain} = \{-4, 7, 4, -5\} \]

### Range
Extract the y-values from each pair:
- From (-4, 8), the y-value is 8.
- From (7, 9), the y-value is 9.
- From (4, -5), the y-value is -5.
- From (-5, 4), the y-value is 4.

Thus, the range is:
\[ \text{Range} = \{8, 9, -5, 4\} \]

### Summary:
- Domain: \{-4, 7, 4, -5\}
- Range: \{8, 9, -5, 4\}

Would you like further details or have any questions?

Here are five related questions:
1. How do you find the domain of a function involving a fraction?
2. How do you find the range of a quadratic function?
3. Can a relation have the same element in the domain repeated?
4. How do you determine if a relation is a function based on its domain and range?
5. How would you plot the given relation on a coordinate plane?

**Tip**: Always check if each x-value corresponds to only one y-value when determining if a relation is a function.

Learn how to find the domain and range of the relation {(-4, 8), (7, 9), (4, -5), (-5, 4)}. This problem covers key concepts like the definition of relations, domain, and range. Suitable for students in Grades 6-8.

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