Final answer:
The provided relation is a function because each x-value is associated with exactly one y-value, which complies with the definition of a function.
Step-by-step explanation:
The question at hand is whether the given relation: (0,0), (5,10), (6,12), (10,20) represents a function. By definition, a function is a type of relationship where each input value (x-coordinate) is paired with exactly one output value (y-coordinate). To determine if the relation is a function, we look for instances where an x-value is paired with more than one y-value.
In the stated relation, each x-value corresponds to one unique y-value. There is no x-value that is associated with multiple y-values. Hence, based on the definition of a function, the given relation is in fact a function because it meets the criterion that each input has only one output.