Question

Select all the relations that represent a function.

A) (1, 3), (2, 5), (2, 7) (4, 9)
B) (1, 3), (2, 5), (3, 7) (4, 9)
C) (1, 3), (1, 5), (1, 7) (4, 9)
D) (1, 3), (2, 3), (3, 3) (4, 3)
E) (1, 2), (2, 5), (2, 1) (4, 5)

Answer 1

To determine which relations represent a function, check if there are any repeated inputs with different outputs.

Step-by-step explanation:

A relation represents a function if each input has exactly one output. To determine which relations in the options represent a function, we need to check if there are any repeated inputs with different outputs.

In option B) (1, 3), (2, 5), (3, 7), (4, 9), each input value has a unique output, so this relation represents a function.

In option D) (1, 3), (2, 3), (3, 3), (4, 3), all inputs have the same output, which is allowed. So this relation also represents a function.

The relations in options A), C), and E) have repeated input values with different outputs, so they do not represent functions.