Question

Which of the following tables represents a function? x 2 2 3 3 y 5 −5 6 −6 x 4 −4 4 −4 y 1 2 3 4 x 6 6 7 7 y 2 3 4 5 x 2 −2 4 −4 y 8 8 12 12

Answer 1

Answer:

4th answer

Step-by-step explanation:

Answer 2

Answer: Fourth option.

Step-by-step explanation:

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

Given the first table:

$x|2\ \ 2\ \ 3\ \ 3\\y|5-5\ 6-6$

You can notice that the input values 2 and 3 do not have only one output value. Therefore, this table does not represent a function.

The second table is:

$x|4-4\ 4\ -4\\y|1\.\ \ 2\ \.\ \ 3\ \ 4$

 You can notice that the input values 4 and -4 do not have only one output value. Therefore, this table does not represent a function.

The third table is:

$x| 6\ 6\ 7\ 7\ \\y|2\ 3\ 4\ 5$

 You can notice that the input values 6 and 7 do not have only one output value. Therefore, this table does not represent a function.

The fourth table is:

$x| 2\ -2\ 4\ -4\ \\y|8\ \.\ \ 8\ \ 12\ \ 12$

 You can notice that each input value has only one output value. Therefore, this table represents a function.