Answer: (1, 3) can be removed so that the resulting graph represents a function.
Explanation: A relation from a set X to a set Y is called a function if each element of X is related to exactly one element in Y. Here, X = {-5, -4, -2, 1, 2, 5} Y = {-4, -3, -2, 1, 2, 3} Relation from X to Y : {(-5, -3), (-4, -4), (-2, 2), (1, -2), (1, 3), (2, 1), (5, -4)} This relation is not a function from X to Y because the element 1 in X is related to two different elements, -2 and 3 So, we have to remove either (1, -2) or (1, 3) in order to make this a function.
In order to find which answer is a solution, you have to put the ordered pair in for their given variables. If it produces a true statement, then it is a solution. In this case, D is the only one that produces a true statement.
