To determine whether the relation represented in the table is a function, we need to see if each input value (x value) corresponds to exactly one output value (y value).
Looking at the table:
x | y
---------
15 | -17
2 | -17
20 | 0
- The x value of 15 corresponds to y = -17.
- The x value of 2 also corresponds to y = -17.
- The x value of 20 corresponds to y = 0.
In this table, each x value (15, 2, and 20) is unique, meaning that no x value is repeated. Each x value has a defined and unique y value (even though -17 appears for two different x values, it does not violate the definition of a function because the same output can result from different inputs).
Since no x value maps to more than one y value, this relation is indeed a function.