Given the function f(x.y) = In (4x +y), 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...

Extracted text: Given the function f(x.y) = In (4x +y), 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 (4x + y). O A. All points in the first quadrant O B. All values of x and y except when f(x,y) = y - 4x generate real numbers. O C. All points in the xy-plane except the origin O D. All points in the xy-plane b. Choose the correct range of the function f(x,y) = In (4x² + y?). O A. All non-negative real numbers O B. All non-negative integers O C. All integers O D. All real numbers c. Choose the correct description of the level curves of f(x,y) = In (4x +y) O A. Straight Lines O B. Circles O C. Ellipses O D. 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. O A. Yes, at = 0 (Type an expression using x and y as the variables.) O B. Yes, at (Type an ordered pair. Use a comma to separate answers as needed.) O C. No e. Choose the correct description of the domain of f(x.y) = In (4x2 + y?). O A. Open Region O B. Both open and closed OC. Closed Region O D. Neither open nor closed f. Is the domain of f(x,y) = In (4x +y) bounded or unbounded? Bounded Unbounded