MATH100 Lecture Notes - Xu, Maxima And Minima

• School: University of Alberta
• Department: Mathematics
• Course: MATH100
• Professor: Ian Blokland

Document Summary

Suppose we have a function f(x) defined on a domain d. We say that f has an absolute maximum value at x=c if :f (c) f (x) ,for all x d. Similarly, an absolute minimum value requires f (c) f ( x) for all x d. No abs. max! (f ) (no assumption -> domain = r) Abs. max of 1 at x = 1. Graphical examples: f ( x)={x+1, 1 x<0 x 1,0