Question: Let a; b; c and d be real numbers. Find, with full justifications, the maximum and minimum values of the function f(x; y; z) =

Let a; b; c and d be real numbers. Find, with full justifications, the maximum and minimum values of the function f(x; y; z) = （ax + by + cz + d）／（1 + x2 + y2 + z2） ; over R3.

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