Answer
See below.
Work Step by Step
a. Domain : The domain is the set of all $(x,y)\ne (0,y)$ .
b. Range: Set of all Real numbers
c. Level Curves: These are the x-axis minus origin for $f(x,y)= 0$ and the parabolas $y=cx^2$ minus origin when $f(x,y)=c \ne 0$
d. Boundary point is the line $x=0$
e. Open.
f. Unbounded
