Results 1 to 3 of 3

Math Help - Mapping onto

  1. #1
    Newbie
    Joined
    Aug 2009
    Posts
    3

    Mapping onto

    A mapping f: R map element of R is onto iff each horizontal line( line parallel to the x-axis). Intersect the graph of f at least once.

    a. Formulate similar condirion for f : R map element of R is one-to one mapping.

    B. If both are one to one mapping and onto.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    Super Member Matt Westwood's Avatar
    Joined
    Jul 2008
    From
    Reading, UK
    Posts
    797
    Thanks
    17
    There's a certain symmetry to this question.

    Hint: consider vertical lines.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Member
    Joined
    Aug 2009
    Posts
    125
    I guess vertical lines would tell me something about whether the function is well-defined or not, but can't see how they help with a) or b).

    For a) ask yourself what does it mean when a horizontal line intersects the graph more than once

    For b) just combine the statement about 'onto' with what you find in a).
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. mapping
    Posted in the Advanced Applied Math Forum
    Replies: 1
    Last Post: April 10th 2011, 12:14 AM
  2. mapping
    Posted in the Differential Geometry Forum
    Replies: 5
    Last Post: April 5th 2011, 06:16 PM
  3. Complex open mapping & conformal mapping problems.
    Posted in the Differential Geometry Forum
    Replies: 1
    Last Post: February 22nd 2011, 07:26 AM
  4. mapping
    Posted in the Discrete Math Forum
    Replies: 1
    Last Post: November 13th 2008, 08:24 PM
  5. Mapping: one-to-one and onto
    Posted in the Discrete Math Forum
    Replies: 7
    Last Post: November 6th 2008, 07:41 PM

Search Tags


/mathhelpforum @mathhelpforum