Question

Which set of ordered pairs represents a function?

a) {(0, 1), (1, 3), (1, 5), (2, 8)}
b) {(0, 0), (1, 2), (2, 6), (2, 8)}
c) {(0, 0), (0, 2), (2, 0), (2, 4)}
d) {(0, 2), (1, 4), (2, 6), (3, 6)}

Answer 1

Set d) {(0, 2), (1, 4), (2, 6), (3, 6)} represents a function.

Step-by-step explanation:

A set of ordered pairs represents a function if each input corresponds to a unique output. Let's analyze each set of ordered pairs:

1. Set a) {(0, 1), (1, 3), (1, 5), (2, 8)} - This set does not represent a function because for x = 1, there are two different outputs (3 and 5).
2. Set b) {(0, 0), (1, 2), (2, 6), (2, 8)} - This set does not represent a function because for x = 2, there are two different outputs (6 and 8).
3. Set c) {(0, 0), (0, 2), (2, 0), (2, 4)} - This set does not represent a function because for x = 0 and x = 2, there are two different outputs.
4. Set d) {(0, 2), (1, 4), (2, 6), (3, 6)} - This set represents a function because each input corresponds to a unique output.

Therefore, set d) {(0, 2), (1, 4), (2, 6), (3, 6)} represents a function.