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 at .
So, there is no absolute maximum.
\There is a hole at .
So, there is no absolute minimum.
\ \Absolute maximum : None.
\Absolute minimum : None.
\