Math 1131Q                                                             Section Concepts Guide

           Section 4.1: Maximum and Minimum Values
            (1) In this section, we talk about minimum and maximum values. First, lets make sure
                we know the definitions. What is an absolute minimum or maximum value? What
                is a local maximum or minimum value?

                       Let c be a number in the domain D of the function f . Then f (c) is the:

                       Absolute maximum of f on D if f (c)  f (x) for all x in D
                       Absolute minimum of f on D if f (c)  f (x) for all x in D
                       Local maximum of f if f (c)  f (x) when x is near c
            ...