Definition 19.1.1. Absolute extremes.
- A function
is said to have an absolute minimum at on a specific domain if for all other -values in that domain. In this case, called the absolute minimum value of on that domain. - A function
is said to have an absolute maximum at on a specific domain if for all other -values in that domain. In this case, called the absolute maximum value of on that domain.
In general, we say that has an absolute extreme at if it has either a local minimum or a local maximum there.