Question

Is the relation {(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)} a function? Explain. Type your answer below

Answer 1

{(3, 5), (–4, 5), (–5, 0), (1, 1), (4, 0)}

As long as there are the same x-value does not have multiple y-value results, it will be a function. This data array doesn't contain any recurring x-values. Therefore, this is a function (in simple terms of speaking).

Answer 2

Yes this is a function. The reason why is because there are no repeated x values. Each x value leads to exactly one y value. Put another way, for any given input, there is EXACTLY ONE output.

If you had something like {(1,2),(4,5),(1,7)} then it wouldn't be a function since x = 1 repeats itself. In this example, x = 1 leads to more than one output.