The relation representing a function is where each input corresponds to a unique output. In this context, Option B is a function as each x-value has a distinct y-value.
The relation that represents a function is the one where each input (x-value) corresponds to only one unique output (y-value). Let's analyze the given options:
A. {(1, 2), (2, 3), (1, 4)} - Not a function as 1 has two different corresponding y-values.
B. {(3, 5), (2, 6), (1, 3)} - Function as each x-value has a unique y-value.
C. {(4, 7), (5, 8), (6, 7)} - Function as each x-value has a unique y-value.
D. {(1, 2), (2, 3), (3, 4)} - Not a function as 2 has two different corresponding y-values.
Therefore, the correct option is B. This represents a function as each input (x-value) has a unique output (y-value).
Complete question:
Which of the following relations is a function, given the set of options?
A. {(1, 2), (2, 3), (1, 4)}
B. {(3, 5), (2, 6), (1, 3)}
C. {(4, 7), (5, 8), (6, 7)}
D. {(1, 2), (2, 3), (3, 4)}