the ordered pairs in the sets shown below are of the form xy

the ordered pairs in the sets shown below are of the form (x,y) which set of ordered pairs is y not a function of x? {(3,1),(-4,1),(2,6),(5,2)} {(1,1),(2,2),(3,3),(4,5)} {(-7,4),(-8,1),(-3,6),(11,2)} {(5,8),(3,-12),(-7,3),(5,-6)}

Solution

The only set where y can be a function of x is { (1,1),(2,2), (3,3), (4,5)}.Here, the relation, on prima-facie scrutiny, is x y. In the other three sets, no relation can be established between x and y.