Find the Domain and Range and Describe the Level Curves $$f ( x , y ) = \frac { 9 x ^ { 2 } } { y }$$

question 330

Multiple Choice

Find the domain and range and describe the level curves for the function f(x,y) .
- $$f ( x , y ) = \frac { 9 x ^ { 2 } } { y }$$

• A) Domain: all points in the \(x y\)-plane; range: real numbers \(z \geq 0\); level curves: parabolas \(y = x ^ { 2 }\)
• B) Domain: all points in the \(x y\)-plane except \(y = 0\); range: real numbers \(z \geq 0\); level curves: parabolas \(y = c x ^ { 2 }\)
• C) Domain: all points in the \(x y\)-plane; range: all real numbers; level curves: parabolas \(y = c x ^ { 2 }\)
• D) Domain: all points in the \(x y\)-plane except \(y = 0\); range: all real numbers; level curves: parabolas \(y = x ^ { 2 }\)

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