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)}
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)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
![**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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4a47fda9-061f-451e-94e6-6988f38e6732%2Fd53375bb-0ed9-49f8-b689-8b9ba149fbd1%2Ftcsd42_processed.jpeg&w=3840&q=75)
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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