For the given function, complete parts (a) through (f) below.f(x,y) = 16x² + 4y²(a) Find the function's domain. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Simplify your answer. Type an inequality.)O A. The domain is all points (x,y) satisfyingOB. 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 isOB. The range is all real numbers.(Type your answer in interval notation.)(c) Describe the function's level curves. Choose the correct answer below.4OA. 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 circles centered at the origin.OC. 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.OD. The level curves are parabolas of the form y = cx².mplete your choice

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f(x,y) = 16x² + 4y² (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. 4 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. OB. The level curves are circles centered at the origin. OC. For f(x,y) = 0, the level curve is the origin. For f(x,y) #0, the level curves are ellipses centered D. The level curves are parabolas of the form y = cx². the origin and ajor and minor axes along the x- and y-axes, re r chaina