Let’s go through each diagram one by one to decide if it shows a function or not.
Remember: A
function means that
each input (number on the left) has exactly ONE output (number on the right).
If any number on the left points to more than one number on the right → NOT a function.
If every number on the left points to only one number on the right → IS a function.
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Diagram 1:
Left side: 1, 2, 3
Right side: 0, 3, 6, 9
- 1 → 3
- 2 → 6 and 9 ← Uh oh! 2 points to TWO numbers → NOT a function
Answer for 1: Not a function
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Diagram 2:
Left side: 1, 2, 4
Right side: 0, 2, 4
- 1 → 2
- 2 → 4
- 4 → 0
Each left number goes to only ONE right number → YES, this is a function
Answer for 2: Function
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Diagram 3:
Left side: 5, 6, 8
Right side: 1, 5, 6, 7
- 5 → 5
- 6 → 6 and 7 ← Two outputs! → NOT a function
(We don’t even need to check 8 — already broken)
Answer for 3: Not a function
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Diagram 4:
Left side: 2, 3, 5, 6
Right side: 1, 2, 6, 8
- 2 → 2 and 6 ← Two outputs! → NOT a function
Answer for 4: Not a function
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Diagram 5:
Left side: 1, 6, 8
Right side: 2, 5, 8
- 1 → 2 and 5 ← Two outputs! → NOT a function
Answer for 5: Not a function
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Diagram 6:
Left side: 2, 5, 8
Right side: 2, 5, 8
- 2 → 5
- 5 → 2
- 8 → 8
Each left number goes to only ONE right number → YES, function
Answer for 6: Function
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Diagram 7:
Left side: 1, 3, 5, 8
Right side: 0, 7, 8
- 1 → 0
- 3 → 7
- 5 → 8
- 8 → 0
Even though two inputs (1 and 8) both go to 0, that’s OKAY! Functions can have same output for different inputs.
What matters: Each input has ONLY ONE output → YES, function
Answer for 7: Function
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Diagram 8:
Left side: 1, 3, 5, 9
Right side: 3, 7, 9
- 1 → 3 and 7 ← Two outputs! → NOT a function
Answer for 8: Not a function
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Final Answer:
1) Not a function
2) Function
3) Not a function
4) Not a function
5) Not a function
6) Function
7) Function
8) Not a function
Parent Tip: Review the logic above to help your child master the concept of function mapping worksheet.
