Question

Here is a relation.

{(–4, 7), (–2, –1), (–2, 0), (3, 3)}

Display the relation in an arrow diagram.
Is the relation a function? Explain.

Answer 1

Diagram is attached. No, the relation is not a function.

In order for a relation to be a function, each input value must be mapped to no more than 1 output value. One of our input values, -2, is mapped to 2 output values (-1 and 0). Therefore this is not a function.