For each relation, decide whether or not it is a function. Relation 1 Domain Range leaf 8 paper rock star O Function O Not a function 7 O Function O Not a function -8 Relation 3 {(u, d),(c, c),(d, u),(v, d)} Domain 8 -8 7 5 Function Not a function Relation 2 O Function O Not a function Range -2 -6 5 2 -7 Relation 4 {(3, e), (3, n), (3, m), (2, 1)}

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Understanding Relations and Functions**

For each relation, decide whether or not it is a function. 

### Relation 1

**Domain**: {leaf, paper, rock, star}

**Range**: {8, 7, -8}

*Diagram Explanation*:
- "leaf" is connected to 8.
- "paper" is connected to 7.
- "rock" is connected to 7.
- "star" is connected to -8.

**Decision**:
- ⭕ Function
- ⚪ Not a function

### Relation 2

**Domain**: {8, -8, 7, 5}

**Range**: {-2, -6, 5, 2, -7}

*Diagram Explanation*:
- 8 is connected to -2.
- -8 is connected to -2, -6.
- 7 is connected to 5.
- 5 is connected to 2, -7.

**Decision**:
- ⚪ Function
- ⭕ Not a function

### Relation 3

**Relation**: {(u, d), (c, c), (d, u), (v, d)}

*Relation Details*:
- (u, d)
- (c, c)
- (d, u)
- (v, d)

**Decision**:
- ⭕ Function
- ⚪ Not a function

### Relation 4

**Relation**: {(3, e), (3, n), (3, m), (2, r)}

*Relation Details*:
- (3, e)
- (3, n)
- (3, m)
- (2, r)

**Decision**:
- ⚪ Function
- ⭕ Not a function

---

This activity helps in identifying whether a given relation qualifies as a function based on the criteria that for each input in the domain, there is exactly one output in the range.
Transcribed Image Text:**Understanding Relations and Functions** For each relation, decide whether or not it is a function. ### Relation 1 **Domain**: {leaf, paper, rock, star} **Range**: {8, 7, -8} *Diagram Explanation*: - "leaf" is connected to 8. - "paper" is connected to 7. - "rock" is connected to 7. - "star" is connected to -8. **Decision**: - ⭕ Function - ⚪ Not a function ### Relation 2 **Domain**: {8, -8, 7, 5} **Range**: {-2, -6, 5, 2, -7} *Diagram Explanation*: - 8 is connected to -2. - -8 is connected to -2, -6. - 7 is connected to 5. - 5 is connected to 2, -7. **Decision**: - ⚪ Function - ⭕ Not a function ### Relation 3 **Relation**: {(u, d), (c, c), (d, u), (v, d)} *Relation Details*: - (u, d) - (c, c) - (d, u) - (v, d) **Decision**: - ⭕ Function - ⚪ Not a function ### Relation 4 **Relation**: {(3, e), (3, n), (3, m), (2, r)} *Relation Details*: - (3, e) - (3, n) - (3, m) - (2, r) **Decision**: - ⚪ Function - ⭕ Not a function --- This activity helps in identifying whether a given relation qualifies as a function based on the criteria that for each input in the domain, there is exactly one output in the range.
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