Answer
Refer answer below.
Work Step by Step
a. Domain : The domain is set of all $(x,y)$ in the xy plane.
b. Range: The range is $0 \lt z\leq 1$
c. The level Curves are at the origin and the circles whose center at (0,0) with radius $r \gt 0$
d. No Boundary points
e. Both open and closed
f. Unbounded