Extrema on an Interval
The minimum and maximum of a function on an interval are the extreme values, or extrema (the singular form of extrema is extremum), of the function on the interval. The minimum and maximum of a function on an interval are also called the absolute minimum and absolute maximum on the interval.
- A function does not need to have a maximum or minimum
- Extrema that occur at endpoints of an interval are called endpoint extrema
Learn more about extrema on an interval by reading the explanation below.
Practice: Find the critical points, maximum and minimum points of a function in a given interval in the following exercises.