Final answer:
The given relation is a function because each x value has one unique y value, satisfying the definition of a function with a clear dependence of y on x.
Step-by-step explanation:
The given relation, which includes the points (0,0), (5,10), (6,12), and (10,20), is a function. A function is a special kind of relation where every input (x value) has exactly one output (y value). To determine if the given relation is a function, we can apply the Vertical Line Test. If a vertical line intersects the graph of the relation at most once, then the relation is a function. Plotting the given points, we can see that at each x value, there's just one corresponding y value, which means every x has only one y. Therefore, there is a dependence of y on x that a function requires.