Does the following relation represent a function?{(-22, -27).(-27, -21).(-24, -22), (27, -24), (10, -21)}

Yes

1) The best way to tackle this question is to draw a diagram, and represent this function, so let's do it:

2) Now, let's remind ourselves of the concept of a function:

3) As we can see in our diagram and in the coordinates pairs, we can see that this is a function for each element of x is assigned to one and only element of Y

-8/2y-8=5/y+4-7y+8/y^2-16

we move all terms to the left:

-8/2y-8-(5/y+4-7y+8/y^2-16)=0

we can not solve this equation