Results 1 to 6 of 6

Math Help - possible equation

  1. #1
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271

    possible equation

    im supposed to find a possible equation for this graph; i know that the equation must be degree 6 cos it has five turning points but otherwise i have on idea where to start, all of my attempts on graphic calculator failed miserably.
    any hints?
    Attached Thumbnails Attached Thumbnails possible equation-sans-titre.jpg  
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by furor celtica View Post
    im supposed to find a possible equation for this graph; i know that the equation must be degree 6 cos it has five turning points but otherwise i have on idea where to start, all of my attempts on graphic calculator failed miserably.
    any hints?
    Fun problem, for me.

    You can see six real roots. If you estimate where they are, you can write a degree six polynomial immediately (think: factoring). Then if you play around, you should be able to get it to look very much like the sketch.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271
    i tried doing that by taking x-values that seemed relatively correct graphically, but then the y-values shot through the roof...
    how can this be remedied?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor

    Joined
    Apr 2005
    Posts
    16,400
    Thanks
    1848
    Then please show what you did. Of course, you can always control the size of y values by choosing the coefficient of the leading term correctly.
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Senior Member furor celtica's Avatar
    Joined
    May 2009
    Posts
    271
    i constructed something like -(x+4)(x+3)(x+1)(x-2)(x-4)(x-5)
    of course that doesnt work well
    how can i birng down the y-values to fit the graph?
    Follow Math Help Forum on Facebook and Google+

  6. #6
    MHF Contributor undefined's Avatar
    Joined
    Mar 2010
    From
    Chicago
    Posts
    2,340
    Awards
    1
    Quote Originally Posted by furor celtica View Post
    i constructed something like -(x+4)(x+3)(x+1)(x-2)(x-4)(x-5)
    of course that doesnt work well
    how can i birng down the y-values to fit the graph?
    I graphed your function in Mathematica and took a screenshot.



    I'd say you're done!
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 1
    Last Post: April 11th 2011, 02:17 AM
  2. Partial differential equation-wave equation - dimensional analysis
    Posted in the Differential Equations Forum
    Replies: 3
    Last Post: August 28th 2009, 12:39 PM
  3. Replies: 2
    Last Post: May 18th 2009, 01:51 PM
  4. Replies: 2
    Last Post: April 28th 2009, 07:42 AM
  5. Replies: 1
    Last Post: October 23rd 2008, 04:39 AM

Search Tags


/mathhelpforum @mathhelpforum