A function is also neither increasing nor decreasing at extrema. In this text, we will use the term local.Ĭlearly, a function is neither increasing nor decreasing on an interval where it is constant. (The singular form is “extremum.”) Often, the term local is replaced by the term relative. The plural form is “local minima.” Together, local maxima and minima are called local extrema, or local extreme values, of the function. The function value at that point is the local minimum. Similarly, a value of the input where a function changes from decreasing to increasing as the input variable increases is the location of a local minimum. If a function has more than one, we say it has local maxima. The function value at that point is the local maximum. A value of the input where a function changes from increasing to decreasing (as we go from left to right, that is, as the input variable increases) is the location of a local maximum. While some functions are increasing (or decreasing) over their entire domain, many others are not.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |