Find the Domain and Range and Describe the Level Curves $$f ( x , y ) = ( - 4 x - 3 y ) ^ { 3 }$$

question 270

Multiple Choice

Find the domain and range and describe the level curves for the function f(x,y) .
- $$f ( x , y ) = ( - 4 x - 3 y ) ^ { 3 }$$

• A) Domain: all points in the \(x y\)-plane; range: real numbers \(z \leq 0\); level curves: lines \(- 4 x - 3 y = c\), \(c \leq 0\)
• B) Domain: all points in the \(x y\)-plane; range: all real numbers; level curves: lines \(- 4 x - 3 y = c\), \(\geq \geq 0\)
• C) Domain: all points in the \(x y\)-plane; range: real numbers \(z \geq 0\); level curves: lines \(- 4 x - 3 y = c\)
• D) Domain: all points in the \(x y\)-plane; range: all real numbers; level curves: lines \(- 4 x - 3 y = c\)

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