Examples For Section 2.2

Problem Number 10

Problem Like 29-40

Determine where (in terms of interval values for x) the function whose graph is pictured is increasing and where it is decreasing.

Take as given that the first relatively low point occurs when x = -3, the relatively high point occurs when x = -1, and the second relatively low point occurs when x = 1.  For the portion of the graph pictured we could conclude that the function is

decreasing over the interval (-4,-3)

increasing over the interval (-3,-1)

decreasing over the interval (-1,1)

increasing over the interval (1,2)

If we know that the graph keeps going up forever at each end then the answer would be modified to this:

This will not be on Exam II but for Exam III you will need to find relative maximum and relative minimum points.  On the graph above we have the following critical points.

( -3 , -0.5 )     relative minimum point

( -1 , 1.1 )      relative maximum point

( 1 , -0.5 )      relative minimum point

Extra Credit:  The equation of the function graphed above is given below.  Tell how the equation could be changed to make the function an even function and graph your even function.

Problem Number 45

Determine whether the function is even, odd, or neither.

Problem Number 49

Determine whether the function is even, odd, or neither.

          This site contains links to other Internet sites.  These links are not endorsements of any products or services in such sites, and no information  

           in such site has been endorsed or approved by this site.

        Lane Vosbury, Math Chair, Seminole Community College   email:  vosburyl@scc-fl.edu

        This page was last updated on 10/08/08          Copyright 2002          webstats