Determine whether the relation represents a function. If it is a function, state the domain and range.
-{(-3, 10), (-2, 5), (0, 1), (2, 5), (4, 17)}
A) function domain: {-3, -2, 0, 2, 4} Range: {10, 5, 1, 17}
B) function domain: {10, 5, 1, 17} range: {-3, -2, 0, 2, 4}
C) not a function

Question

Quizplus · Accepted Answer

To check if the relation is a function, we need to make sure that for each unique x-value in the relation, there is only one corresponding y-value. In this case, there are no repeated x-values, so we just need to make sure that there are no repeated y-values. The y-value of 5 appears twice, but since it corresponds to two different x-values (-2 and 2), this is not a problem. Therefore, the relation is a function. The domain is the set of all x-values, which is {-3, -2, 0, 2, 4}. The range is the set of all y-values, which is {10, 5, 1, 17}. The relation represents a function because each input value (x-coordinate) corresponds to only one output value (y-coordinate). The domain is {-3, -2, 0, 2, 4} and the range is {10, 5, 1, 17}.

Determine Whether the Relation Represents a Function