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 $\"\"$ .

The largest value of $\"\"$ is $\"\"$ , which is absolute maximum.

There is a vertical asymptote at $\"\"$ .

So, there is no absolute minimum.

Absolute maximum : $\"\"$ .

Absolute minimum : None.