Given the function f(x.y) = In (2 +7y), answer the following questions. a. Find the function's domain. b. Find the function's range. c. Describe the function's level curves. d. Find the boundary of the function's domain. e. Determine if the domain is an open region, a closed region, both, or neither. f. Decide if the domain is bounded or unbounded. a. Choose the correct domain of the function f(x.y) = In (2x² +7y?). O A. All points in the first quadrant OB. All values of x and y except when f(x.y) = 7y - 2x generate real numbers. OC. All points in the xy-plane O D. All points in the xy-plane except the origin b. Choose the corect range of the function f(x.y) = In (2x+7y). OA. All integers OB. All real numbers OC. All non-negative integers OD. All non-negative real numbers c. Choose the correct description of the level curves of f(x.y) = In (2x + 7y). OA. Circles OB. Straight Lines OC. Ellipses OD. The x- and y-axes, when f(x.y) =0 d. Does the function's domain have a boundary? Select the correct choice and if necessary, fill in the answer box below to complete your choice. OA. Yes, at -0 (Type an expression using x and y as the variables.) OB. Yes, at (Type an ordered pair. Use a comma separate answers as needed.) Oc. No e. Choose the correct description of the domain of f(x.y) = In (2x + 7y). O A. Neither open nor OB. Closed Region Oc. Open Region O D. Both open and closed f. Is the domain of f(x.y) = In (2x +7y²) bounded unbounded? O Bounded O Unbounded