#### Answer

See below.

#### Work Step by Step

a. Domain : The domain is the set of all $(x,y)$ satisfying $x^2+y^2 \lt 16$ .
b. Range: $R: z\geq \dfrac{1}{4}$
c. Level Curves: These are the circles with center at (0,0) having radii $r \lt 4$
d. Boundary point is at the circle $x^2+y^2=9$
e. Open.
f. Bounded