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}