MAT237Y1 Lecture Notes - Maxima And Minima, Classification Of Discontinuities, Polynomial Long Division
Document Summary
The point (x0, f (x0)) is considered a relative max if there is an open interval containing x0 on which f (x0) is the largest value. In other words, graphically, it"s the highest point in a general area. It doesn"t have to be the strictly highest point in total on the graph (although, that is also a relative max), but just a highest point in some surrounding area. You got a whole bunch of mountain peaks. Yes, there is probably only one tallest peak, but there are certainly a whole bunch more of smaller peaks. The relative max of a function would be all those peaks in the mountains. Just like how there"s a concept called relative max, there is also the relative min. Well, it"s the same thing as max, only it"s the smallest point on the graph in a surrounding area.
