Graph the relation and determine if it is a function. Explain why it is or isn’t.
{(4, -2), (4, -4), (1, 2), (1, 5), (1, -4)}
The graph of the relation would consist of five points: (4, -2), (4, -4), (1, 2), (1, 5), and (1, -4).
However, this relation is not a function because there are multiple y-values for the same x-value. For example, for x = 4, we have two different y-values: -2 and -4. Similarly, for x = 1, we have three different y-values: 2, 5, and -4. In order for a relation to be a function, each value of x must have only one corresponding value of y. Since this is not the case in this relation, it is not a function.