Results 1 to 4 of 4

Math Help - Sketching graphs

  1. #1
    Newbie
    Joined
    Sep 2009
    Posts
    7

    Sketching graphs

    The question states:

    Suppose we define {x} to be the distance from x to the nearest integer.

    (a) Sketch the graph f(x) = {x}
    (b) Sketch the graph of g(x) = {2x}
    (c) Sketch the graph of h(x) = {x} + 1/2{2x}
    (d) Sketch the graph of all points (x,y) which satisfy {x} + {y} = 1
    (e) Sketch the graph of all points (x,y) which satisfy |x| + |y| = 1

    For (a), does the graph look like a series of repeated triangles on the x-axis? (b) and (c) are similar to (a).

    And I can't figure out (d) and (e)... hints/insights would be great. Thanks in advance!
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Senior Member apcalculus's Avatar
    Joined
    Apr 2009
    From
    Boston
    Posts
    293
    Quote Originally Posted by skeeterrr View Post
    The question states:

    Suppose we define {x} to be the distance from x to the nearest integer.

    (a) Sketch the graph f(x) = {x}
    (b) Sketch the graph of g(x) = {2x}
    (c) Sketch the graph of h(x) = {x} + 1/2{2x}
    (d) Sketch the graph of all points (x,y) which satisfy {x} + {y} = 1
    (e) Sketch the graph of all points (x,y) which satisfy |x| + |y| = 1

    For (a), does the graph look like a series of repeated triangles on the x-axis? (b) and (c) are similar to (a).

    And I can't figure out (d) and (e)... hints/insights would be great. Thanks in advance!
    Attached find a graph of the greatest integer function. For this problem I would suggest making a table with a few numbers and plotting the points. The graph should become obvious quickly.

    Good luck!
    Attached Thumbnails Attached Thumbnails Sketching graphs-greatest_integer_fcn.gif  
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Newbie
    Joined
    Jan 2010
    Posts
    1

    Post Graph Software

    Attached find a graph of the greatest integer function.
    Which software did you use to create the attached graph?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Newbie
    Joined
    Jan 2010
    Posts
    4
    That looks a bit like Maple 13, but I may be wrong.
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Sketching graphs, dom and ran, quartics
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: February 18th 2010, 04:39 AM
  2. Sketching graphs with square roots.
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: November 13th 2009, 02:08 AM
  3. Sketching graphs
    Posted in the Pre-Calculus Forum
    Replies: 3
    Last Post: August 25th 2009, 05:19 AM
  4. Sketching Graphs
    Posted in the Calculus Forum
    Replies: 2
    Last Post: July 8th 2009, 03:45 PM
  5. sketching graphs
    Posted in the Geometry Forum
    Replies: 1
    Last Post: March 16th 2009, 04:52 AM

Search Tags


/mathhelpforum @mathhelpforum