Find the domain and range and describe the level curves for the function f(x,y).

Question

Find the domain and range and describe the level curves for the function f(x,y).

f(x, y) = sin-1(x2 + y2)

Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)

Domain: all points in the xy-plane; range: real numbers - ? z ? ; level curves: circles with centers at (0, 0)

Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers - ? z ? ; level curves: circles with centers at (0,0) and radii r, 0 < r ? 1

Domain: all points in the xy-plane; range: all real numbers; level curves: circles with centers at (0, 0)

Domain: all points in the xy-plane satisfying x2 + y2 ? 1; range: real numbers - ? z ? ; level curves: circles with centers at (0, 0)

Explanation / Answer

f(x, y) = sin-1(x2 + y2)

(B)

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