Answer
See below.
Work Step by Step
a. Domain: The domain is the set of all points $(x,y)$ outside satisfying $x^2+y^2 =1$ .
b. Range: The set of all real numbers
c. Level Curves: These are the circles with center at (0,0) having radii $r \gt 1$
d. Boundary is the circle $x^2+y^2=1$
e. Open
f. Unbounded