Is the following relation a function?
1 | -2
1 | -3
2| 1
3| -2

i don't think it is what do you guys think

No.  For a set of data to be points produced by a function, each value of x can produce only one value for y.  Otherwise it fails what is called the "vertical line test".  The definition of a function requires that only one value of y can exist or for one value of x, or in other words one input can produce only one output.

In this case you have points (1,-2) and (1, -3), obviously -2 does not equal -3 and so there are two outputs, y,  for one single input, x=1.  Therefore the data can not be from a function.