Results 1 to 4 of 4

Math Help - functions and relations

  1. #1
    Junior Member
    Joined
    May 2009
    Posts
    68

    functions and relations

    Hey
    Can someone explain to me how to start each of the attatched (in the links) questions?
    I know how to do the actual math, Im just having troubles starting them

    Thanks so much!
    10:10 on Flickr - Photo Sharing!
    7 8 9:
    7 8 9 on Flickr - Photo Sharing!
    6: 6 on Flickr - Photo Sharing!
    5: 5 on Flickr - Photo Sharing!
    3 4: 3,4 on Flickr - Photo Sharing!
    Last edited by foreverbrokenpromises; December 12th 2009 at 01:03 PM.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Member
    Joined
    Nov 2008
    From
    Ontario
    Posts
    80
    Your question go from trig to inverse to sketching to combining functions to completing the square, topics which tend to be distinct from each other in high school. If you cannot do them I would suggest going back to the basics...

    As for where to start, start with the graphs 7,8,9...

    7) root functions and quadratics -- the key is to use transformations and algebraic manipulation (factor, complete the square) to find key features such as maximums and minimums and points at which the graph crosses the x-axis. 7(d) is a rational function, find a common base.

    8) Inverse functions have the property of x = y, the opposite of the normal y=x. If it's a rational function areas where the denominator = 0 are undefined so include them as restrictions.

    9) Sketch it using the techniques in 7). (a) break even are points where the function = 0. (b) Profit maximization occurs where the function is at it's max, so complete the square to get the vertex.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Junior Member
    Joined
    May 2009
    Posts
    68
    Thanks

    I understand all of that except for 7d)
    what do you mean by "find a common base"?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Member
    Joined
    Nov 2008
    From
    Ontario
    Posts
    80
    You need to change the function to make it easier to find the features...

    \frac{3}{x-1} - 2

    =\frac{3-(2)(x-1)}{x-1}

    =\frac{3-2x+2}{x-1}

    =\frac{-2x+5}{x-1}
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Relations and Functions - Inverse Relations Question
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 13th 2011, 12:20 PM
  2. Relations and functions.
    Posted in the Discrete Math Forum
    Replies: 2
    Last Post: March 4th 2011, 05:54 AM
  3. Functions and Relations
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: September 15th 2010, 01:58 PM
  4. Functions and relations
    Posted in the Pre-Calculus Forum
    Replies: 5
    Last Post: January 17th 2009, 03:47 AM
  5. Functions and Relations
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 25th 2008, 09:12 PM

Search Tags


/mathhelpforum @mathhelpforum