Question

Is the relation in the table a function?

Answer 1

It is a function, therefore the answer is: C. Yes, because each input value corresponds to only one output value.

How to Determine if a Table Represents a Function?

A table that can be said to represent a function must have exactly one output value (y-value) assigned to every input value (x-value). That is to say, no input value (x-value) has two different output values (y-values).

In the table that shows the relation given in the diagram above, we can see that each of the input value (x-value) has only one possible output value (y-value) that it corresponds to. No x-value (input value) has two different y-values (output values) it corresponds to.

Thus, the relation in the table can be said have satisfied the criteria of a function. Therefore, we can state that the relation in the table is a function.

Since it is a function, the answer therefore, is: C. Yes, because each input value corresponds to only one output value.

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