Question

Determine whether the relation is a​ function, and give the domain and range.
20 to 14
14 to 25
13 to 14

Answer 1

To determine if the given relation is a function, we need to check if each input (first number) is associated with exactly one output (second number).

Given the pairs:
- 20 to 14
- 14 to 25
- 13 to 14

### Step 1: Check for function property
- The input 20 is paired with the output 14.
- The input 14 is paired with the output 25.
- The input 13 is paired with the output 14.

In this case:
- The input 20 maps to 14 (this is fine).
- The input 14 maps to 25 (this is also fine).
- The input 13 maps to 14.

Each input (20, 14, 13) is associated with a unique output. However, the input 14 has two different outputs (it maps to both 14 and 25). This means that the relation is **not a function** because one input (14) does not have a unique output.

### Step 2: Determine the domain and range
- **Domain**: The set of all unique inputs.
- Inputs: 20, 14, 13
- Therefore, the domain is {20, 14, 13}.

- **Range**: The set of all unique outputs.
- Outputs: 14, 25
- Therefore, the range is {14, 25}.

### Conclusion:
- **Is it a function?** No.
- **Domain**: {20, 14, 13}
- **Range**: {14, 25}