Results 1 to 2 of 2

Math Help - graphical combinations of functions

  1. #1
    Junior Member
    Joined
    Dec 2006
    Posts
    60

    graphical combinations of functions

    Draw the graph of y = 2x/x^2+1. Use this graph to draw the graph of each function.

    a) y = x+3 + 2x/x^2+1
    b) y = 2x/x^2+1 - x

    please help. thanks.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member
    earboth's Avatar
    Joined
    Jan 2006
    From
    Germany
    Posts
    5,830
    Thanks
    123
    Quote Originally Posted by checkmarks View Post
    Draw the graph of y = 2x/x^2+1. Use this graph to draw the graph of each function.

    a) y = x+3 + 2x/x^2+1
    b) y = 2x/x^2+1 - x

    please help. thanks.
    Hello,

    I hope that this post doesn't come too late.

    I'll list the steps what you should do to draw the graph of

    y = \underbrace{x+3}_{\text{straight line}} + \underbrace{2x/(x^2+1)}_{\text{function f}}

    1. Draw the graph of

    f(x) = \frac{2x}{x^2+1}

    using a table of x and y-values. (black line)

    2. Draw the straight line y = x+3 (blue line)

    3. Mark points on the graphs which have the same x-value. Measure the y-value of the points placed on the graph of f (black distances). Add these y-values to the y-values of the points placed on the straight line.

    4. You'll get a set of points (large red points). Connect these large red points to get the graph of

    y = {\color{blue}x+3} + {\color{black}\frac{2x}{x^2+1}}


    The second problem has to be done in exactly the same way. I'll leave it to you.
    Attached Thumbnails Attached Thumbnails graphical combinations of functions-ord_addition.gif  
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Combinations of Functions
    Posted in the Algebra Forum
    Replies: 0
    Last Post: January 16th 2012, 03:41 PM
  2. Combinations of Functions
    Posted in the Algebra Forum
    Replies: 18
    Last Post: October 1st 2011, 03:06 PM
  3. Combinations of functions
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: July 16th 2010, 09:04 PM
  4. Combinations of Functions
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: April 2nd 2009, 10:45 AM
  5. Combinations Of Functions
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: September 15th 2008, 05:50 PM

Search Tags


/mathhelpforum @mathhelpforum