Question

What are the possible values of x and y for two distinct points, (5, –2) and (x, y), to represent a function?

Answer 1

The correct answer is:

Any real number for x except 5, and any real number for y.

Explanation:

A function is a relation in which each element of the domain, or x-value, is mapped to one element of the range, or y-value.  This means that no x can be mapped to more than one y, so if we have the same number used twice for x, we do not have a function.

This means that 5 cannot be used for x in the other ordered pair.

Since there is no restriction on y in order to be a function, y can be any real number.

Answer 2

Any real number except 5 for the x vale and for y value is any real number