Some level surfaces of the functions $g _ { 1 } ( x , y , z )$ $g _ { 2 } ( x , y , z )$ and $g _ { 3 } ( x , y , z )$ are shown below, respectively. Which function takes the value 0 at (0, 0, 0)?

Question

Some level surfaces of the functions $g _ { 1 } ( x , y , z )$ $g _ { 2 } ( x , y , z )$ and $g _ { 3 } ( x , y , z )$ are shown below, respectively.    Which function takes the value 0 at (0, 0, 0)?

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The Answer of Some level surfaces of the functions $g _ { 1 } ( x , y , z )$ $g _ { 2 } ( x , y , z )$ and $g _ { 3 } ( x , y , z )$ are shown below, respectively.    Which function takes the value 0 at (0, 0, 0)?

Some Level Surfaces of the Functions g1(x,y,z)g _ { 1 } ( x , y , z )g1​(x,y,z)

Some Level Surfaces of the Functions $g _ { 1 } ( x , y , z )$