Answer
See below.
Work Step by Step
a. Domain : The domain is set of all $(x,y)$ in the xy -plane.
b. Range: A set of all Real numbers
c. Level Curves: These are Hyperbolas with the x- axis and y-axis as asymptotes when $f(x,y) \ne 0$ also, the x-axis and y-axis hen $f(x,y)=0$
d. No boundary points
e. Both closed and open.
f. Unbounded