For the given function, complete parts (a) through (f) below.f(x,y) = 16x² +9y²(a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.A. The domain is all points (x,y) satisfying (Simplify your answer. Type an inequality.)B. 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.O A. The range isOB. The range is all real numbers.(Type your answer in interval notation.) For the given function, complete parts (a) through (f) below.f(x,y) = 16x² +9y²(c) Describe the function's level curves. Choose the correct answer below.O A. 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.B. For f(x,y) = 0, the level curve is the origin. For f(x,y) # 0, the level curves are ellipses centered at the origin and major and minor axes along the x- and y-axes, respectively.C. The level curves are circles centered at the origin.O D. The level curves are parabolas of the form y = cx².(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 isOB. There are no boundary points.(e) Determine if the domain is an open region, a closed region, or neither. Choose the correct answer below.(Simplify your answer. Type an equation.)O A. The domain is only closed.O B. The domain is neither open nor closed.OC. The domain is both open and closed.(f) Decide if the domain is bounded or unbounded. Choose the correct answer below.O A. The domain is bounded.OB. The domain is unbounded.

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