https://file.aiquickdraw.com/mathbot/file/1729854980358g8hv3ncs.jpg

The problem in the image asks to determine whether each relation is a function. To do this, we need to check if each input (first coordinate in each pair) corresponds to exactly one output (second coordinate in each pair).

### 1. Relation 1: 
\( (4, 2), (2, -1), (0, -4), (2, -7), (4, -10) \)

- The input 4 is mapped to both 2 and -10.
- The input 2 is mapped to both -1 and -7.

Since some inputs correspond to more than one output, **Relation 1 is not a function**.

### 2. Relation 2: 
\( (-1, 4), (1, -4), (0, 0), (-1, -4), (2, 4) \)

- The input -1 is mapped to both 4 and -4.

Since the same input (-1) corresponds to different outputs, **Relation 2 is also not a function**.

Would you like further details on how to identify a function? Also, here are some related questions you might find helpful:

1. What are some examples of relations that are functions?
2. How does the vertical line test help determine if a relation is a function?
3. Can a function have the same output for different inputs?
4. What are some real-world examples of functions and relations?
5. How can we represent functions using graphs or tables?

**Tip**: Remember, a relation is only a function if each input has exactly one output!

Determine whether each relation is a function: (4, 2), (2, -1), (0, -4), (2, -7), (4, -10) and (-1, 4), (1, -4), (0, 0), (-1, -4), (2, 4).

Learn how to determine if a set of coordinate pairs represents a function. This guide covers essential concepts about relations and functions, explaining how inputs should map to outputs. Ideal for Grades 8-10 students.

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