Which relation is a function?

{(8, –5), (–5, 8), (–5, –8), (–8, 5)}
{(2, –3), (–3, 2), (2, 3), (–2, 3)}
{(–7, 6), (6, –7), (–7, 9), (10, 3)}
{(5, –4), (–4, 5), (–5, 4), (4, –5)}

Answer:

the last one

Step-by-step explanation:

when looking for the function we have to know that none of the x values can repeat

in the first one the x value -5 repeats twice so that cannot be the answer

in the second one the x value 2 repeats twice so that cant be the answer

in the third one the x value -7 repeats twice so that also cannot be the answer

in the last one each x value has a different y value or every input has a different output therefore this one is the right answer

hope this helps :D

The relation that is a function is: {(5, –4), (–4, 5), (–5, 4), (4, –5)}.

A relation is a function if each input (x-value) is associated with only one output (y-value).

Let's analyze each relation:

1. {(8, –5), (–5, 8), (–5, –8), (–8, 5)} - This relation is not a function because the input -5 is associated with two different outputs (8 and -8).

2. {(2, –3), (–3, 2), (2, 3), (–2, 3)} - This relation is not a function because the input 2 is associated with two different outputs (-3 and 3).

3. {(–7, 6), (6, –7), (–7, 9), (10, 3)} - This relation is not a function because the input -7 is associated with two different outputs (6 and 9).

4. {(5, –4), (–4, 5), (–5, 4), (4, –5)} - This relation is a function because each input value is associated with only one output value. For example, 5 is associated with -4, -4 is associated with 5, -5 is associated with 4, and 4 is associated with -5.

Therefore, the relation that is a function is: {(5, –4), (–4, 5), (–5, 4), (4, –5)}.

To know more about relation, refer here:

https://brainly.com/question/2253924

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