Question

Which value of X will allow the following set of ordered pairs to represent a function? (3,7) (2,6) (x,8) (1,5)

Answer 1

`x` must be number different to 1, 2 and 3 to guarantee that given relation is a function.

Explanation:

From Function Theory, we know that a function is a relation in which all domain elements are not related to at least two different elements from range. Which means that
`x \in \mathbb{R}-\{1,2,3\}`, that is, that
`x` is a real number different to 1, 2 and 3.

Hence, we conclude that
`x` must be number different to 1, 2 and 3 to guarantee that given relation is a function.