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(20 points) For any number a, denote by fa (x) the smaller of the two numbers (x - a)2 and (x - a -2)2. Then

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(20 points) For any number a, denote by fa (x) the smaller of the two numbers (x - a)2 and (x - a -2)2. Then we define g(a) = fa(x)dx Find the maximum and minimum values of g(a) if -2

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