Answer
See below.
Work Step by Step
a. Domain: The domain is the set of all points $(x,y)$ inside the circle $x^2+y^2 =9$ .
b. Range: $R: z \lt \ln 9$
c. Level Curves: These are the circles with center at (0,0) having radii $r \lt 9$
d. Boundary is the circle $x^2+y^2=9$
e. Open
f. Bounded