Question 5, 14.1.19 HW Score: Part 2 of 6 points X Points: For the given function, complete parts (a) through (f) below. f ( x,y) = 16x2 + 92 (a) Find the function's domain. Choose the correct answer below. A. The domain is the entire xy-plane. X B. The domain is all points (x,y) satisfying 16x2+ 9y2 - 1. O C. The domain is all points (x,y) satisfying 16x2+ 9y2 > 1. OD. The domain is all points in the first quadrant. (b) Find the function's range. S The range of the function f(x,y) is 0, (Type your answer in interval notation.) (a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The domain is all points (x,y) satisfying . (Simplify your answer. Type an inequality.) OB. The domain is the entire xy-plane. (b) Find the function's range. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA The range is . (Type your answer in interval notation.) OB. The range is all real numbers. (c) Describe the function's level curves. Choose the correct answer below. OA. For f(x,y) = 0, the level curve is the x- and y-axes. For f(x,y) *0, the level curves are hyperbolas with the x- and y-axes as asymptotes. OB. The level curves are ellipses centered at the origin. OC. The level curves are parabolas of the form y = ex?. OD. For f(x,y) = 1, the level curve is the origin. For f(x,y) * 1, the level curves are circles centered at the origin. (d) Find the boundary of the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The boundary is . (Simplify your answer. Type an equation.) OB. There are no boundary points. (e) Determine if the domain is an open region, a closed region, or both. Choose the correct answer below. OA. The domain is both open and closed. OB. The domain is open. OC. The domain is closed