Final answer:
The set {(2,-1),(-3,-1),(-4,-1),(-5,-1)} is a function because each input is paired with exactly one output and there are no repeating x-values with different y-values.
Step-by-step explanation:
To determine if a set of ordered pairs is a function, we check to see if each input (x-value) is paired with exactly one output (y-value). If a single input is associated with more than one output, then it is not a function.
Looking at the set {(2,-1),(-3,-1),(-4,-1),(-5,-1)}, we can see that each x-value (input) is indeed paired with only one y-value (output). Here are the inputs and their corresponding outputs:
- 2 → -1
- -3 → -1
- -4 → -1
- -5 → -1
Since there are no repeated x-values with different y-values, this set is a function.