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You might think that with ordered pairs each x has only one y value anyway.
Is the relation a function math. A relation that is a function this relation is definitely a function because every x value is unique and is associated with only one value of y. However in the example of a relation given above note that the x values 1 and 2 each have two corresponding y values 0 and 5 and 10 and 15 respectively. A function is a specific relation and determining whether a relation is a function is a skill necessary for knowing what we can graph. Since relation 1 has only one y value for each x value this relation is a function.
How about this example though. In mathematics what distinguishes a function from a relation is that each x value in a function has one and only one y value. How to determine if a relation is a function. So for a quick summary if you see any duplicates or repetitions in the x values the relation is not a function.
A function is a correspondence between a first set called the domain and a second set called the range such that each member of the domain corresponds to exactly one member of the range. On the other hand relation 2 has two distinct y values a and c for the same x value of 5. A relation is a function only if it relates each element in its domain to only one element in the range.
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