1. Consider the function : = f(x, y) = V16 – r - 4y2. (i) Find the domain and range of the function. (ii) Sketch the level curve for : = 0 and trace of the function for y 0. (iii) Sketch the graph of the function.

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.