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Find the Domain and Range and Describe the Level Curves

Question 3

Multiple Choice

Find the domain and range and describe the level curves for the function f(x,y) .
-f(x, y) = Find the domain and range and describe the level curves for the function f(x,y) . -f(x, y)  =   A)   Domain: all points in the xy-plane; range: real numbers > 0; level curves: ellipses  3x<sup>2</sup> + 10y<sup>2</sup> = c   B)   Domain: all points in the xy-plane except (0, 0) ; range: real numbers > 0; level curves: ellipses  3x<sup>2</sup> + 10y<sup>2</sup> = c   C)   Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses   3x<sup>2</sup> + 10y<sup>2</sup> = c   D)   Domain: all points in the xy-plane except (0, 0) ; range: all real numbers; level curves: ellipses   3x<sup>2</sup> + 10y<sup>2</sup> = c


A) Domain: all points in the xy-plane; range: real numbers > 0; level curves: ellipses 3x2 + 10y2 = c

B) Domain: all points in the xy-plane except (0, 0) ; range: real numbers > 0; level curves: ellipses 3x2 + 10y2 = c

C) Domain: all points in the xy-plane; range: all real numbers; level curves: ellipses 3x2 + 10y2 = c

D) Domain: all points in the xy-plane except (0, 0) ; range: all real numbers; level curves: ellipses 3x2 + 10y2 = c

Correct Answer:

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