Question

Which set of ordered pairs represents a function?

a) {(1, 2), (3, 4), (1, 6)}
b) {(2, 5), (4, 3), (6, 7)}
c) {(1, 3), (2, 5), (3, 7)}
d) {(2, 4), (2, 6), (3, 8)}

Answer 1

Option b) {(2, 5), (4, 3), (6, 7)} and option c) {(1, 3), (2, 5), (3, 7)} both represent a function, as each input has a unique output.

Step-by-step explanation:

The question asks us to identify which set of ordered pairs represents a function. A set of ordered pairs is a function if each input (the first number in the pair) corresponds to exactly one output (the second number in the pair). Let's analyze the given options:

• a) {(1, 2), (3, 4), (1, 6)} - This is not a function because the input '1' corresponds to two different outputs, '2' and '6'.
• b) {(2, 5), (4, 3), (6, 7)} - This is a function since each input corresponds to exactly one output.
• c) {(1, 3), (2, 5), (3, 7)} - This is also a function with unique outputs for each input.
• d) {(2, 4), (2, 6), (3, 8)} - This is not a function because the input '2' corresponds to two different outputs, '4' and '6'.

Therefore, the sets of ordered pairs that represent a function are options b) and c).