Results 1 to 3 of 3

Math Help - How to determine how many areas there are between two functions

  1. #1
    Member
    Joined
    Jan 2010
    Posts
    106
    Thanks
    2

    How to determine how many areas there are between two functions

    I was given a problem with two functions and two x-values for boundaries, so I found the points of intersection (there were two) and attempted to find the area between those functions, but I didn't get to finish. In any case, I would have gotten it wrong, because when graph the two functions and then look at the boundaries, there are 3 separate areas that needed to be added up. I just thought it was another problem with a parabolic curve and a line going through it, and there was only one area in between them, but it was asking me to also include the areas that were not in both functions, i.e.



    Without a graphing utility and short of graphing both functions very accurately to tell this, is there any other way to see that this is what the question was asking for?
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor ebaines's Avatar
    Joined
    Jun 2008
    From
    Illinois
    Posts
    1,130
    Thanks
    337

    Re: How to determine how many areas there are between two functions

    If the lower boundary is at x=a, the intersection points at x= b and x=c, and the upper boundary x=d, this seems to be simply  \int_a ^ b (f(x)-g(x))dx + \int_b^c (g(x)-f(x))dx + \int_c^d (f(x)-g(x))dx.

    Or am I missing something in your question?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Master Of Puppets
    pickslides's Avatar
    Joined
    Sep 2008
    From
    Melbourne
    Posts
    5,236
    Thanks
    28

    Re: How to determine how many areas there are between two functions

    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determine if this set of continuous functions is a group
    Posted in the Advanced Algebra Forum
    Replies: 10
    Last Post: October 11th 2011, 09:17 AM
  2. Replies: 7
    Last Post: February 9th 2010, 07:40 AM
  3. Replies: 1
    Last Post: January 26th 2010, 04:57 AM
  4. Replies: 2
    Last Post: April 22nd 2008, 09:11 AM
  5. determine the functions for profit
    Posted in the Calculus Forum
    Replies: 2
    Last Post: January 29th 2007, 12:13 PM

Search Tags


/mathhelpforum @mathhelpforum