You know that at least ONE of these points lies on f-1(x)...
(3,1)
(2,-2)
(1,-3)
(-3,1)
What you need to do is switch the x and y values...
(3,1) becomes (1,3)
(2,-2) becomes (-2,2)
(1,-3) becomes (-3,1)
(-3,1) becomes (1,-3)
Now take all your new points and see if they are on the shown graph...
(1,3): NO
(-2,2): NO
(-3,1): NO
(1,-3): YES
Ok, so you know that if f(x) passes through (1,-3), then you know that f-1(x) passes through (-3,1)
This is because...
1. Domain of f(x)=Range of f-1(x)
2. Range of f-1(x)=Domain of f(x)
3. Range of f(x)=Domain of f-1(x)
4. Domain of f-1(x)=Range of f(x)
Ask for more details if you still don't understand and I will help you.
BEST OF LUCK! :)