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Looking at the table provided, we need to find a pattern that explains how the input is transformed into the output. The inputs are \( 5, 8, 9 \) and the corresponding outputs are \( 7, 10, 11 \).

By observing the pattern:
- When the input is \( 5 \), the output is \( 7 \). 
- When the input is \( 8 \), the output is \( 10 \).
- When the input is \( 9 \), the output is \( 11 \).

The relationship between input and output can be expressed as:
\[
\text{Output} = \text{Input} + 2
\]
For every input, the output is the input value increased by 2.

Therefore, when the input is \( n \), the output will be:
\[
\text{Output} = n + 2
\]

Would you like more details or explanations?

Here are 5 related questions to expand your understanding:
1. How would the output change if the relationship was subtraction instead of addition?
2. Can you create a different rule where the output is less than the input?
3. What happens if we multiply the input by a constant instead of adding?
4. How would you find the output if \( n \) was a large number, say 1000?
5. What if the pattern wasn't consistent—how would you identify the rule then?

**Tip:** When analyzing a function from a table of values, always check for simple arithmetic operations like addition, subtraction, multiplication, or division to find the pattern.

Below is the table of values of a function. Write the output when the input is n.

Learn how to find the output of a function when the input is n. The function follows a simple linear pattern where the output is always the input plus 2. Suitable for students in Grades 6-8.

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