A function $\"\"$ has an absolute (or global) maximum at $\"\"$ if $\"\"$ for every $\"\"$ in the domain of $\"\"$ .

A function $\"\"$ has an absolute (or global) minimum at $\"\"$ if $\"\"$ for every $\"\"$ in the domain of $\"\"$ .

Observe the graph :

The domain of the function $\"\"$ is $\"\"$ .

There is a hole $\"\"$ .

So, there is no absolute maximum.

The smallest value of $\"\"$ is $\"\"$ , which is absolute minimum.

Absolute maximum : None.

Absolute minimum : $\"\"$ .