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 (left side) has exactly ONE output (right side).
It’s okay if multiple inputs point to the same output — that’s fine.
But if even one input points to TWO or more outputs, then it’s NOT a function.
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Diagram 1:
Left: 2 → 0 and 9
→ 2 goes to two different numbers!
✘ Not a function.
Diagram 2:
Left: 5 → 3 and 6
→ 5 goes to two different numbers!
✘ Not a function.
Diagram 3:
Left: 1 → 7, 3 → 8, 6 → 9
Each left number goes to only one right number.
✔ Function.
Diagram 4:
Left: 1 → 3, 2 → 3, 5 → 3, 7 → 3, 8 → 4
All left numbers go to only one right number (even though many go to 3).
✔ Function.
Diagram 5:
Left: 0 → 0 and 8
→ 0 goes to two different numbers!
✘ Not a function.
Diagram 6:
Left: 3 → 3, 4 → 3, 7 → 5
Each left number goes to only one right number.
✔ Function.
Diagram 7:
Left: 4 → 0 and 9
→ 4 goes to two different numbers!
✘ Not a function.
Diagram 8:
Left: 0 → 1 and 2
→ 0 goes to two different numbers!
✘ Not a function.
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Final Answer:
1) No
2) No
3) Yes
4) Yes
5) No
6) Yes
7) No
8) No
Parent Tip: Review the logic above to help your child master the concept of algebra relations and functions worksheet.