Chapter 8.1, Problem 12E

To determine

To complete:

The givenstatement using words always , sometimes , or never .

Answer to Problem 12E

The complete statement would be: A relation is sometimes a function.

Explanation of Solution

Given:

An incomplete statement:A relation is $\underset{\_}{?}$ a function.

Calculation:

We know that a relationship will be a function, when each input in the domain has exactly one specific corresponding output.

That is for a relation to be a function, one x- value cannot have two y -values, while two x- values can have same y- value.

Therefore, the correct word for our given statement would be “sometimes”.