1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Question about the definition of functions

  1. Jan 14, 2008 #1
    1. The problem statement, all variables and given/known data
    Y={y:y=f(x), xe(can´t find the right symbol, but it should be belongs)X} is the changing region (is it like that in English?) of the function f

    function f-s graphic is a region of points in the xy plane is defined as (f)={(x;y):y=f(x),x e X0
    2. Relevant equations
    what do the :y mean? I doubt that means divided by y thats why I want to know what does it mean?

    3. The attempt at a solution
  2. jcsd
  3. Jan 14, 2008 #2


    User Avatar
    Science Advisor
    Homework Helper

    Your definition in english reads, Y is equal to the set of all y such that y=f(x) for x an element of X. The ':' is the 'such that'.
  4. Jan 14, 2008 #3


    User Avatar
    Science Advisor

    Your set is the set of all possible y values. The English term is "range" of f. In "higher mathematics" that might be called the "image" of whatever the domain (values of x) is.

    You used it in your first set! It mean "such that". Often a vertical line "|" is used to mean the same thing.

Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Threads - Question definition functions Date
Vector components/coordinates question. Thursday at 6:18 AM
Set notation question Mar 8, 2018
Pre-calc related question for the interval of a solution Feb 16, 2018
I need help with this question about vectors Dec 24, 2017
Definition Question Sep 1, 2011