Results 1 to 3 of 3

Math Help - Function behavior of a reciprocal function?

  1. #1
    Newbie
    Joined
    Mar 2012
    From
    Bartow, FL
    Posts
    9

    Function behavior of a reciprocal function?

    Our teacher explained behavior function as far as increasing, decreasing, constant, and "strictly" terms for each of them. However, since the reciprocal function has a break in it, I am not sure how to define its behavior?

    The function he wanted us to graph and describe the behavior of is the most basic reciprocal function, f(x)=x^(-1)
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Joined
    Sep 2012
    From
    Australia
    Posts
    3,619
    Thanks
    592

    Re: Function behavior of a reciprocal function?

    Hey Ascendant78.

    You usually define these kinds of things as having an asymptote or being "asymptotic".

    You have two kinds of asymptotes: vertical and horizontal. Vertical ones are found in the graphs like yours where you have a vertical asymptote at x = 0 for a negative one for x approaching zero from the left and a positive one for x approaching zero on the right.

    The function should always be strictly decreasing everywhere but the asymptote means that it will have a break in it and this means that it will be strictly decreasing, but only with respect to the sides of where the asymptote is.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Mar 2012
    From
    Bartow, FL
    Posts
    9

    Re: Function behavior of a reciprocal function?

    Great, thank you. That was something that he didn't cover in class, so good to know.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Determine the end behavior of each function...?
    Posted in the Pre-Calculus Forum
    Replies: 7
    Last Post: September 15th 2010, 10:40 PM
  2. function behavior
    Posted in the Calculus Forum
    Replies: 3
    Last Post: August 10th 2009, 01:46 AM
  3. [SOLVED] End Behavior of a function
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 9th 2009, 01:54 PM
  4. help with Reciprocal of qudratic function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: October 21st 2008, 03:50 AM
  5. behavior of a function
    Posted in the Calculus Forum
    Replies: 1
    Last Post: November 6th 2006, 08:44 AM

Search Tags


/mathhelpforum @mathhelpforum