Question

Which of the following sets of ordered pairs represents a function?

{(-6,-1), (13,8), (1,6), (1,-10)}

{(10,5), (10,-5), (5,10), (5,-10)}

{(3,5), (-17,-5), (3,-5), (-17,5)}

{(10,5), (-10,-5), (5,10), (-5,-10)}

Answer 1

Explanation:

A function can only have one output for an input. That is, for any value of x, there must be a unique value of y.

{(-6,-1), (13,8), (1,6), (1,-10)} Not a Function: (1,6) and (1,-10)

{(10,5), (10,-5), (5,10), (5,-10)} Not a Function: (10,5) and (10,-5)

{(3,5), (-17,-5), (3,-5), (-17,5)} Not a Function: (3,5) and (3,-5)

{(10,5), (-10,-5), (5,10), (-5,-10)} Function: No duplicate values of y for a value of x.