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

question 242

Multiple Choice

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

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