Question 1171193
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    In calculus, the <U>Extreme Value Theorem</U> states that if a real-valued function f is continuous on 

    the closed interval [a,b], then f must attain a maximum and a minimum, each at least once. 
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See this Wikipedia article
https://en.wikipedia.org/wiki/Extreme_value_theorem


So, the function is assumed to be CONTINUOUS.


But the given function is not continuous : it has singular points at x = -1 and x= 1 inside the interval [-2,2].


So, it does not satisfy the condition of the theorem.
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Explained and completed.