Identifying Functions (Tables) Worksheet Download - Free Printable

Let’s go through each table one by one to decide if it represents a function.

Remember: A function means that for every input (x-value), there is only one output (y-value). If the same x appears more than once with different y values, then it’s not a function.

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Table 1:
X: 4, 4, 16, 36, 64
Y: -2, 2, 4, 6, 8
→ X = 4 appears twice with Y = -2 and Y = 2 → NOT a function → no

Table 2:
X: 4, 16, 25, 49, 49
Y: -2, 4, -5, -7, 7
→ X = 49 appears twice with Y = -7 and Y = 7 → NOT a function → no

Table 3:
X: 36, 12, -6, -42, -48
Y: -6, -2, 1, 7, 8
→ All X values are unique → YES, it’s a function → yes

Table 4:
X: -1, 4, 5, 7, 7
Y: 5, -1, 0, -10, 4
→ X = 7 appears twice with Y = -10 and Y = 4 → NOT a function → no

Table 5:
X: -7, -3, -2, 3, 5
Y: 49, 9, 4, 9, 25
→ All X values are unique → YES → yes

Table 6:
X: -9, -5, -3, 1, 3
Y: -13, -9, -7, -3, -1
→ All X values are unique → YES → yes

Table 7:
X: -5, -2, 1, 6, 8
Y: -1, 2, 5, 10, 12
→ All X values are unique → YES → yes

Table 8:
X: -5, -4, -2, 8, 8
Y: -2, -5, 8, -4, 1
→ X = 8 appears twice with Y = -4 and Y = 1 → NOT a function → no

Table 9:
X: 16, 49, 81, 100, 100
Y: -4, -7, -9, -10, 10
→ X = 100 appears twice with Y = -10 and Y = 10 → NOT a function → no

Table 10:
X: -2, 3, 4, 6, 7
Y: 5, 5, 2, -3, -2
→ All X values are unique → YES → yes

Table 11:
X: -10, -9, -7, -4, 5
Y: -8, -7, -5, -2, 7
→ All X values are unique → YES → yes

Table 12:
X: -8, -6, -3, 6, 9
Y: 0, 5, 0, -7, 3
→ All X values are unique → YES → yes

Table 13:
X: -4, 3, 4, 7, 8
Y: 10, 7, -8, 7, 5
→ All X values are unique → YES → yes

Table 14:
X: -1, 0, 1, 3, 3
Y: 9, 1, 3, 0, 6
→ X = 3 appears twice with Y = 0 and Y = 6 → NOT a function → no

Table 15:
X: -10, -5, -4, 3, 4
Y: 100, 25, 16, 9, 16
→ All X values are unique → YES → yes

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Final Answer:
1. no
2. no
3. yes
4. no
5. yes
6. yes
7. yes
8. no
9. no
10. yes
11. yes
12. yes
13. yes
14. no
15. yes