Question

The relation R is shown below as a list of ordered pairs. R = { (1, 4), (1, 3), (-1, 3), (2, 15) } Which ordered pairs prevent this relation from being a function? (1, 4) and (1, 3), because they have the same x-value (1, 3) and (–1, 3), because they have the same y-value

Answer 1

Answer: Points (ordered pairs) in a function are allowed to have the same y-value. If some do, they prevent the relation from being one-to-one, but do not prevent the relation from being a function.

(1,4) and (1,3) prevent the relation from being a function.

After you remove one of them, pairs (1,3) and (-1,3) prevent the function from being one to one, which means it has no inverse, but it is a function.

Explanation:

Answer 2

(1,4) and (1,3)

Explanation:

A function may not have two y-values assigned to the same x-value, it may have two x-values assigned to the same y-value

Therefore the order pair (1,4) and (1,3) prevents this relation from being a function.

Each x has only one y-value.