Results 1 to 3 of 3

Math Help - No absolute minimum?

  1. #1
    Member
    Joined
    Sep 2007
    Posts
    86

    Question No absolute minimum?

    For a " Find all extrema; local, end point, absolute points"
    I'll just post the final answer cause I just want an explanation for something...

    F(-2) = 2
    F(0) = 2
    F(1) = -2
    F(3) = 38
    F(6) = DNE

    So I got the answers
    F(-2) is the end point max.
    F(1) is the local min.
    F(3) is the local max, absolute max.
    There is no end point min because F(6) is DNE.

    I got the same answer as the book, but the book also says that there is no absolute min. Why is F(1) not the absolute min as well? is it because it's the only low point in the sine line?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Banned
    Joined
    May 2009
    Posts
    471
    if f(6)= dne but tends to negative infinity, then there is no absolute minimum because you can always find a smaller number within the interval
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Sep 2007
    Posts
    86
    Oh your correct F(6) does tend to - infinity.

    Now it makes sense. Thanks.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 8
    Last Post: May 23rd 2010, 11:59 PM
  2. absolute maximum and absolute minimum value
    Posted in the Calculus Forum
    Replies: 2
    Last Post: November 18th 2009, 04:25 PM
  3. finding absolute maximum and absolute minimum
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 15th 2009, 05:22 PM
  4. Replies: 2
    Last Post: November 8th 2009, 02:52 PM
  5. Find the absolute maximum and absolute minimum
    Posted in the Calculus Forum
    Replies: 5
    Last Post: December 12th 2008, 10:46 AM

Search Tags


/mathhelpforum @mathhelpforum