Question

Sketch the graph of the function \(f\left( {x,y} \right) = \sqrt {4 - 4{x^2} - {y^2}} \)

Short answer

The graph of the function \(f\left( {x,y} \right) = \sqrt {4 - 4{x^2} - {y^2}} \)

Step-by-step solution

Step-1: Graph

Step-2: Consideration

The function \(f\left( {x,y} \right) = \sqrt {4 - 4{x^2} - {y^2}} \)

Step-3: Observation

The domain can be found through the function of the graph also

Hence, the graph of the function \(f\left( {x,y} \right) = \sqrt {4 - 4{x^2} - {y^2}} \) is shown