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

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 $- 4 x - 3 y = c$