Question

Select all the relations that are functions (hint: 3 correct answers).

a) {(2, 2), (4, 4), (6, 6), (8, 8)}
b) {(0, 3), (3, 5), (5, 6), (8, 4)}
c) {(1, 2), (3, 3), (4, 8), (6, 3)}
d) {(3, 4), (5, 2), (5, 6), (7, 3)}

Answer 1

To determine if a relation is a function, we need to check if each input value has only one corresponding output. Options (a), (b), and (d) represent functions, while option (c) does not.

Step-by-step explanation:

A function is a relation where each input has only one corresponding output. To determine if a relation is a function, we need to check if each input value has only one output value. From the given options:

• Option (a) {(2, 2), (4, 4), (6, 6), (8, 8)} is a function because each input has only one corresponding output.
• Option (b) {(0, 3), (3, 5), (5, 6), (8, 4)} is not a function because the input value 3 has two corresponding outputs: 5 and 3.
• Option (c) {(1, 2), (3, 3), (4, 8), (6, 3)} is not a function because the input value 4 has two corresponding outputs: 8 and 3.
• Option (d) {(3, 4), (5, 2), (5, 6), (7, 3)} is not a function because the input value 5 has two corresponding outputs: 2 and 6.

Therefore, the correct options that represent functions are (a), (b), and (d).