Answer
It is one-to one.
Inverse:
$$f = \{(6,-2),(8,4),(-6,2),(3,3)\}$$
Work Step by Step
To be a one-to-one function, each x value can only map to one y value. In the given set of points, there are so x value that maps to two y values, so it is one-to-one.
Now, to find the inverse, you just switch all the x and the y coordinates. So the inverse would be:
$$f = \{(6,-2),(8,4),(-6,2),(3,3)\}$$