Consider the function f(x, y) = 6 - (x - 1)2-(y-2)2 over the rectangular region D= [-1, 1] x [-1,1]. Which of the following statements is FALSE? O The function attains an absolute maximum in the interior of D. O The function over the region D satisfies the hypotheses of the Extreme Value Theorem. The function attains an absolute maximum on the boundary of D. O The function attains an absolute minimum on the boundary of D.

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