Question

Which relation represents a function?

A. {(0, 0), (2, 3), (2, 5), (6, 6)}
B. {(3,5), (8,4), (10, 11), (10, 6)}
C. {(13, 2), (13,3), (13, 4), (13,5)}
D. {(-2,2), (0, 2), (7, 2), (11, 2)}

Answer 1

A relation represents a function if each input corresponds to exactly one output. Relation D represents a function because it has unique x-values for each y-value.

Step-by-step explanation:

A relation represents a function if each input (x-value) in the relation corresponds to exactly one output (y-value). To determine which relation represents a function, we need to check if there are any repeated x-values.

Looking at the given options, relation A has repeated x-values (2), so it does not represent a function. Relation B also has repeated x-values (10), so it is also not a function. Relation C has repeated x-values (13), so it is not a function either.

Finally, relation D has unique x-values for each y-value, so it represents a function.