Select all relations that represent functions.
(8,7), (7,8), (6,5), (5,6)
(-2,7), (-3,9), (-5,9), (-8,11)
(6,-6), (-3,12), (6,-1), (-8,13)

x y
-3 0
-5 8
-7 8
-9 0

x y
0 0.5
2 1
1 2.5
0 2

Respuesta :

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 [tex](8,7), (7,8), (6,5), (5,6)[/tex]  is a function.

2. The relation [tex](-2,7), (-3,9), (-5,9), (-8,11)[/tex] is a function.

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

[tex]x=6,y=-6\\\\x=6,y=-1[/tex]

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:

[tex]x=0,y=0.5\\\\x=0,y=2[/tex]