9 Best Worksheets For Identifying The Domain And Range Of ... - Free Printable

Let's solve each problem step by step.

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Understanding Domain and Range:

- Domain: The set of all x-values (input values).
- Range: The set of all y-values (output values).

We list the values in ascending order and ensure no duplicates.

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Problem 1

| x | y |
|----|----|
| -7 | 12 |
| -4 | 9 |
| -2 | -11|
| 8 | 17 |
| 10 | 6 |
| 19 | -5 |

- Domain: All x-values → {-7, -4, -2, 8, 10, 19}
→ Ordered: {-7, -4, -2, 8, 10, 19}

- Range: All y-values → {12, 9, -11, 17, 6, -5}
→ Ordered: {-11, -5, 6, 9, 12, 17}

✔ Answer:
- Domain: {-7, -4, -2, 8, 10, 19}
- Range: {-11, -5, 6, 9, 12, 17}

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Problem 2

| x | y |
|-----|----|
| -19 | 16 |
| -6 | 4 |
| 1 | -3 |
| 2 | 8 |
| 15 | 9 |
| 18 | -20|

- Domain: {-19, -6, 1, 2, 15, 18} → Already ordered
→ {-19, -6, 1, 2, 15, 18}

- Range: {16, 4, -3, 8, 9, -20} → Order them:
→ {-20, -3, 4, 8, 9, 16}

✔ Answer:
- Domain: {-19, -6, 1, 2, 15, 18}
- Range: {-20, -3, 4, 8, 9, 16}

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Problem 3

| x | y |
|-----|----|
| -17 | -5 |
| -13 | 6 |
| -9 | -4 |
| -3 | 13 |
| 12 | -5 |
| 20 | 1 |

- Domain: {-17, -13, -9, -3, 12, 20} → Ordered
→ {-17, -13, -9, -3, 12, 20}

- Range: {-5, 6, -4, 13, -5, 1} → Remove duplicate (-5)
→ Values: {-5, -4, 1, 6, 13} → Ordered
→ {-5, -4, 1, 6, 13}

✔ Answer:
- Domain: {-17, -13, -9, -3, 12, 20}
- Range: {-5, -4, 1, 6, 13}

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Problem 4

| x | y |
|----|----|
| 3 | 14 |
| 5 | 8 |
| 7 | -2 |
| 11 | 8 |
| 13 | 0 |
| 15 | -18|

- Domain: {3, 5, 7, 11, 13, 15} → Already ordered
→ {3, 5, 7, 11, 13, 15}

- Range: {14, 8, -2, 8, 0, -18} → Remove duplicate (8)
→ Values: {-18, -2, 0, 8, 14} → Ordered
→ {-18, -2, 0, 8, 14}

✔ Answer:
- Domain: {3, 5, 7, 11, 13, 15}
- Range: {-18, -2, 0, 8, 14}

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Problem 5

| x | y |
|-----|----|
| -13 | 2 |
| -10 | 8 |
| -8 | 3 |
| 12 | -9 |
| 16 | 7 |
| 18 | -2 |

- Domain: {-13, -10, -8, 12, 16, 18} → Ordered
→ {-13, -10, -8, 12, 16, 18}

- Range: {2, 8, 3, -9, 7, -2} → Ordered
→ {-9, -2, 2, 3, 7, 8}

✔ Answer:
- Domain: {-13, -10, -8, 12, 16, 18}
- Range: {-9, -2, 2, 3, 7, 8}

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Problem 6

| x | y |
|-----|----|
| -18 | 11 |
| -16 | 11 |
| -10 | 11 |
| -8 | 11 |
| 3 | 11 |
| 7 | 11 |

- Domain: {-18, -16, -10, -8, 3, 7} → Ordered
→ {-18, -16, -10, -8, 3, 7}

- Range: All y-values are 11 → Only one unique value
→ {11}

✔ Answer:
- Domain: {-18, -16, -10, -8, 3, 7}
- Range: {11}

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✔ Final Answers:

1.
- Domain: {-7, -4, -2, 8, 10, 19}
- Range: {-11, -5, 6, 9, 12, 17}

2.
- Domain: {-19, -6, 1, 2, 15, 18}
- Range: {-20, -3, 4, 8, 9, 16}

3.
- Domain: {-17, -13, -9, -3, 12, 20}
- Range: {-5, -4, 1, 6, 13}

4.
- Domain: {3, 5, 7, 11, 13, 15}
- Range: {-18, -2, 0, 8, 14}

5.
- Domain: {-13, -10, -8, 12, 16, 18}
- Range: {-9, -2, 2, 3, 7, 8}

6.
- Domain: {-18, -16, -10, -8, 3, 7}
- Range: {11}

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