Results 1 to 5 of 5

Math Help - determining loca max and minimum point without graphing (polynomial functions)

  1. #1
    Junior Member
    Joined
    Feb 2009
    Posts
    46

    determining loca max and minimum point without graphing (polynomial functions)

    hi,

    I've been looking everywhere to find an answer to this question, Basically, an equation is given

    F(x)=3x(2-x)(x+1)(3+x)

    What is the total local max and minimum value?

    Please help me, my head is about to explode!! thank you!!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    I've never heard of the "total max" of a function. (I've heard of absolute and local maximums, though.) How does your book define this term?

    Thank you!
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    Feb 2009
    Posts
    46
    this is how my book defines it

    local maximum -the point on a function that has the greatest y value on some interval close too the point
    local minimum -the point on a function that has the least y value on some interval close too the point

    I dont need to know the exact value but how many (i.e. 3 local min/max values or 2 local min/max) max and min!

    sorry! my question shoould be how many local max/minimum
    Follow Math Help Forum on Facebook and Google+

  4. #4
    MHF Contributor
    Joined
    Mar 2007
    Posts
    1,240

    Talking

    I can't imagine why you'd be expected to find exact local max/min points from the graph...? Have you studied any calculus at all?
    Follow Math Help Forum on Facebook and Google+

  5. #5
    Junior Member
    Joined
    Feb 2009
    Posts
    46
    Quote Originally Posted by stapel View Post
    I can't imagine why you'd be expected to find exact local max/min points from the graph...? Have you studied any calculus at all?
    Nevermind I think I found the answer.
    I think my question was unclear, im gonna try to clarify it. What Im trying to ask is how many local maximum or minimum (not the exact value), is in this function

    F(x)=3x(2-x)(x+1)(3+x)

    without graphing. From what I understand (n-1), where n is the degree of function is equal to the number of local maximum and local minimum. So in my equation the degree is 4, therefore the # of local max and min is 3, (4-1=3), correct answer. I think i got this right, unless someone thinks otherwise. But then I have another question, because i think this (n-1) doesnt apply to all functions. For instance

    P(x)= X^6-16X^2+3

    the # of local max and min is = 3, i thought it would be 5 (6-1). Please someone explain why its 3, without graphing?
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determining Point Estimate.
    Posted in the Advanced Statistics Forum
    Replies: 1
    Last Post: March 18th 2011, 10:51 PM
  2. Replies: 8
    Last Post: May 9th 2010, 04:05 AM
  3. determining the maximum and minimum
    Posted in the Calculus Forum
    Replies: 4
    Last Post: December 21st 2009, 04:04 PM
  4. Replies: 3
    Last Post: April 8th 2009, 12:00 PM
  5. Determining the break even point
    Posted in the Algebra Forum
    Replies: 3
    Last Post: February 18th 2009, 10:48 PM

Search Tags


/mathhelpforum @mathhelpforum