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Write F if function and NF if not function in a given problem.

To determine whether the given set of points represents a function, we apply the **definition of a function**: For every \(x\)-value, there must be exactly one corresponding \(y\)-value.

### The set of points given:
\[
\{(-7, 4), (-8, 3), (-7, 7), (-20, 8), (5, 9), (3, 1), (2, 6)\}
\]

Now, let's check:

1. **Point (-7, 4)**: \(x = -7\), \(y = 4\)
2. **Point (-8, 3)**: \(x = -8\), \(y = 3\)
3. **Point (-7, 7)**: \(x = -7\), \(y = 7\)
4. **Point (-20, 8)**: \(x = -20\), \(y = 8\)
5. **Point (5, 9)**: \(x = 5\), \(y = 9\)
6. **Point (3, 1)**: \(x = 3\), \(y = 1\)
7. **Point (2, 6)**: \(x = 2\), \(y = 6\)

#### Observations:
- The \(x = -7\) appears twice: once with \(y = 4\) and once with \(y = 7\).
  
Since the same \(x\)-value has two different corresponding \(y\)-values, the set does **not** satisfy the definition of a function.

### Conclusion:
This is **NF (Not a Function)**.

Would you like more details or have any further questions?

Here are 5 related questions to consider:
1. What are the conditions for a set of points to be a function?
2. How can you determine whether a relation is a function by looking at a graph?
3. What is the vertical line test for functions?
4. Can a function have more than one \(y\)-value for a given \(x\)-value?
5. What are some examples of real-world situations that can be modeled as functions?

**Tip:** When dealing with points, always check if any \(x\)-values repeat with different \(y\)-values to confirm if it's a function.

Learn how to determine if a given set of points represents a function using the definition of a function. This problem involves checking for repeated x-values with different y-values. Suitable for students in Grades 7-9.

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