Question

Use the set of ordered pairs to determine whether the relation is a function.

{(−8,−25),(5,−2),(4,21),(−19,−22),(−17,−1),(−20,−5)}

Answer 1

A function is a relation where each input has exactly one output. In the given set of ordered pairs, there are no repeating x-values, making it a function.

Step-by-step explanation:

A relation is considered a function if every input has exactly one output. To determine if the given relation is a function, we need to check if there are any repeating x-values. If any x-values repeat, it means that one input has multiple outputs, which would make the relation not a function.

Looking at the set of ordered pairs {(−8,−25),(5,−2),(4,21),(−19,−22),(−17,−1),(−20,−5)}, we can see that there are no repeating x-values. Each x-value appears only once. Therefore, every input has exactly one output, making the relation a function.