 Is the following relation a function? {(2, 3), (-5, 0), (7, 10), (8, 3), (-2, -1)}

To determine if the given relation is a function, we need to check if each input (the first element of each ordered pair) is associated with exactly one output (the second element).

The given relation is:  
\[
\{(2, 3), (-5, 0), (7, 10), (8, 3), (-2, -1)\}
\]

Now, let's identify the inputs:

- Input 2 maps to 3.
- Input -5 maps to 0.
- Input 7 maps to 10.
- Input 8 maps to 3.
- Input -2 maps to -1.

Each input is unique and corresponds to only one output. Therefore, no input is repeated with a different output.

Since each input has a unique output, the given relation **is a function**.

### Summary:
- **Relation**: \{(2, 3), (-5, 0), (7, 10), (8, 3), (-2, -1)\}
- **Conclusion**: It is a function.

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

1. What is the definition of a function in mathematics?
2. How can you represent a function graphically?
3. What are examples of relations that are not functions?
4. How do you determine the domain and range of a function?
5. What is the difference between a one-to-one function and a many-to-one function?

**Tip:** Always check for unique inputs when determining if a relation is a function!

Is the following relation a function? {(2, 3), (-5, 0), (7, 10), (8, 3), (-2, -1)}

Explore whether the relation {(2, 3), (-5, 0), (7, 10), (8, 3), (-2, -1)} is a function. This analysis shows that each input is unique and corresponds to one output, confirming that it is indeed a function. Perfect for students in Grades 7-9 learning about functions and relations.

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