Functions and Relations Classification

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📚 Part 1: Function or Not a Function?

Remember: A function is a relation where each input has exactly one output.

1. Look at this input-output table. Is this a function?

Input: 1, 2, 3, 4
Output: 5, 10, 15, 20

Yes, it is a function

No, it is not a function

2. Look at this input-output table. Is this a function?

Input: 2, 3, 2, 5
Output: 7, 9, 12, 11

Yes, it is a function

No, it is not a function

3. A vending machine gives you exactly one snack for each button you press. Is this a function?

Yes, it is a function

No, it is not a function

4. Which mapping diagram represents a function?

Input 1 → Output A, Input 2 → Output B, Input 3 → Output C

Input 1 → Output A, Input 1 → Output B, Input 2 → Output C

Input 1 → Output A, Input 2 → Output A, Input 3 → Output A

✏️ Part 2: Analyze and Explain

5. Complete the input-output table to make it a function:

Input: 0, 1, 2, 3
Output: 4, 6, _____, 10

Missing output: _____

6. Look at this relation: {(1,3), (2,5), (3,7), (2,9)}

Is this a function? Circle one: YES or NO

Explain your reasoning:

7. Create your own example of a relation that is NOT a function. Use at least 4 ordered pairs.

8. Real-world application: A student's grade depends on the number of hours they study. Each hour of study results in exactly one grade improvement point. Is this relationship a function? Explain why or why not.

🎯 Part 3: Challenge Problems

9. Look at these three relations. Circle ALL that are functions:

{(0,1), (1,2), (2,3), (3,4)}

{(-1,5), (0,5), (1,5), (2,5)}

{(4,2), (4,3), (5,2), (6,1)}

10. Design a function machine: If the input is any number, and your machine multiplies by 3 and adds 2, complete this table:

Input: 1, 2, 3, 4
Output: _____, _____, _____, _____

Functions and Relations Classification

Functions and Relations Classification

📚 Part 1: Function or Not a Function?

✏️ Part 2: Analyze and Explain

🎯 Part 3: Challenge Problems

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