If z is a function of two variables given by z = (x² + y²)^0.5 - 1 i) Find the domain & range of the function ii) Sketch the surface of the function iii) Sketch the level curves of the function for z= -1, 0, 2
The domain should be all real values of x and y: (-inf,inf). The range should be: [-1,inf) because the smallest possible value of the square root is 0. Ergo, the smallest value of z is -1. I can't sketch the surface on here or the level curves.
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