Question: Define a function f on [ 1 /4 , 2] by f(x) = x 2 + 1 x . Does the Extreme Value Theorem guarantee

Define a function f on [ 1 /4 , 2] by f(x) = x 2 + 1 x . Does the Extreme Value Theorem guarantee that f attains an absolute maximum and absolute minimum on [ 1 /4 , 2]? Justify your answer.

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