Question

Select all relations that represent functions.

Answer 1

Answer:

FIRST OPTION.

SECOND OPTION.

FOURTH OPTION.

Step-by-step explanation:

By definition, a relation is a function if an only if each input value ( each x- value) has only one output value (y-value).

Based on this you can identify that:

1. The relation $(8,7), (7,8), (6,5), (5,6)$  is a function.

2. The relation $(-2,7), (-3,9), (-5,9), (-8,11)$ is a function.

3. The relation $(6,-6), (-3,12), (6,-1), (-8,13)$ is not a function, because the input value 6 has two different output values:

$x=6,y=-6\\\\x=6,y=-1$

4. The first table represents a function.

5. The second table does not represent a function, because the input value 0 has two different output values:

$x=0,y=0.5\\\\x=0,y=2$