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Math Help - Minimum Points

  1. #1
    Junior Member
    Joined
    Nov 2006
    Posts
    38

    Minimum Points

    Okay, so I have the following two equations of curves:



    So am I correct in stating that the Domain of 1 is: -1 < x < 1 and Domain of 2 is: x ≤ -1 or x ≥ 1?

    Okay, so once I figure this out, how do I determine the Max and Min points of the graphs? I do the first derivative test for each, and they don't help me. (Luckily, I am able to picture the graphs in my head, so I can determine the minimum point of 1 to be (0,1) and the minumum points of 2 to be (-1,0) and (1,0).

    How do I determine these min points algebraically?
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  2. #2
    Newbie
    Joined
    Feb 2008
    Posts
    10
    Take the derivitive.
    Then do what is called a sign graph...
    Then you should be able to determine the increasing and decreasing intervals. From this you can determine the x value, and thus the f(x) giving you your local extrema.
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