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) = -8x2/y Domain: all points in the xy-plane except y = 0; range: real numbers z ge 0 ; level curves: parabolas y = cx2 Domain: all points in the xy-plane except y = 0; range: all real numbers; level curves: parabolas y = cx2 Domain: all points in the xy-plane; range: real numbers z ge 0; level curves: parabolas y = cx2 Domain: all points in the xy-plane; range: all real numbers; level curves: parabolas y = cx2

Explanation / Answer

f = -8x^2/y

domain

all xy plane except y=0

range

all real numbers

answer B

parabola y =cx^2

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