Question

A relation is shown.
{(-3,2), (-2.5,-7), (-3,-5), (7, - 7)}
Complete the statement.
The relation
represent a function because

Answer 1

The relation represents a function because each input (or x-coordinate) is associated with exactly one output (or y-coordinate). In the given relation, the x-values are -3, -2.5, and 7. The x-value -3 is associated with two different y-values (2 and -5), which violates the definition of a function. Therefore, the relation does not represent a function.

To be a function, each input must map to one and only one output. In this case, since the x-value -3 corresponds to two different outputs (2 and -5), the relation fails to satisfy this condition.