The mapping diagram represents a relation where x represents the independent variable and y represents the dependent variable.

A mapping diagram with one circle labeled x-values containing values negative 8, negative 5, negative 1, 1, and 12 and another circle labeled y values containing values negative 4 and negative 2 and arrows from negative 8 to negative 4, negative 5 to negative 2, negative 1 to negative 2, 1 to negative 2, 12 to negative 4, and 12 to negative 2.

Is the relation a function? Explain.

Yes, because for each input there is exactly one output
Yes, because for each output there is exactly one input
No, because for each input there is not exactly one output
No, because for each output there is not exactly one input

Yes, because for each input there is exactly one output. Each x-value has a unique mapping to one and only one y-value, satisfying the definition of a function.