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To determine if a set of points represents a function, we apply the definition of a function: 

A **function** is a relation where every input (x-value) has exactly one unique output (y-value). In other words, no two pairs should have the same x-value associated with different y-values.

Let’s analyze the given set of points:  
\[
\{(-4, 8), (2, 1), (7, 12), (3, 12)\}
\]

- The x-values are: -4, 2, 7, and 3.
- Each x-value is unique and corresponds to exactly one y-value:  
  - -4 → 8  
  - 2 → 1  
  - 7 → 12  
  - 3 → 12  

Since no x-value is repeated, this set of points **is a function**.

The correct answer is **Yes**.

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Would you like further details or have any questions? 

Here are 5 related questions to expand on this:
1. What is the vertical line test and how does it relate to functions?
2. How would the answer change if one x-value had two different y-values?
3. Can a relation with repeating y-values still be a function? Why?
4. What are some examples of real-life situations that can be modeled as functions?
5. How would this analysis change if we considered a continuous graph instead of discrete points?

**Tip**: When determining if a relation is a function, focus only on the x-values (inputs) and ensure none of them are assigned to multiple y-values.

Is the following set of points a function? {(-4, 8), (2, 1), (7, 12), (3, 12)}

Analyze the set of points {(-4, 8), (2, 1), (7, 12), (3, 12)} to determine if it represents a function. This problem is based on the definition of a function, where each x-value must correspond to exactly one y-value. Suitable for students in Grades 6-8.

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