Question

The following points represent a relation where x represents the independent variable and y represents the dependent variable.

Does the relation represent a function? Explain.

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

Answer 1

Answer: is A

Explanation:

Answer 2

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

Explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

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