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

question 379

Multiple Choice

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

• A) Domain: all points in the first quadrant of the xy-plane; range: all real numbers; level curves: lines x + y = c
• B) Domain: all points in the xy-plane; range: real numbers z > 0; level curves: lines x + y = c
• C) Domain: all points in the first quadrant of the xy-plane; range: real numbers z > 0; level curves: lines x + y = c
• D) Domain: all points in the xy-plane; range: all real numbers; level curves: lines x + y = c

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