The function is $\"f(x)=[[x]]\"$ and the interval is $\"[$ .

The function $\"f(x)=[[x]]\"$ is a greatest integer function of a real number $\"x\"$ .

For all real numbers $\"x\"$ , the greatest integer function returns the largest integer less than or equal to $\"x\"$ .

In other words, the greatest integer function rounds down a real number to the nearest integer.

To find the absolute extreme of function in given region $\"[$ , sketch the function .

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Left end point $\"(-2,\\$ is minimum point over the interval $\"[$ .

Right end point $\"(2,\\$ is maximum point over the interval $\"[$ .

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Minimum point is $\"(-2,\\$ .

Maximum point is $\"(2,\\$ .