Question

the following is a relation: {(-2,6),(1,8),(3,4),(-3,8),(c,d)}. For which ordered pair (c,d) is the relation to a function?

Answer 1

Answer:(3,4)

Step-by-step explanation: This is a function because each number in the domain is paired with exactly one number in the range. It passes the vertical line test because it plots exactly on top of the other point.

Answer 2

A function is defined as a relation composed of group of points that have unique abscissa or the x-component. In this case, a vertical line cannot be a function since different y's are used for only one x. On the other hand, a horizontal line can be considered as a function since even though one y is used for all points, the x components are unique to each other. With respect to the given, any ordered pair is possible as long as the x component is unique from the existing group of ordered pairs. So when choosing the ordered pair, choose the ones whose abscissa is not -2,3,1, or 3.