Results 1 to 4 of 4

Thread: how to graph this function

  1. #1
    Super Member
    Joined
    Jul 2015
    From
    United States
    Posts
    519
    Thanks
    10

    how to graph this function

    https://imgur.com/lK1xqqU


    so (i) is just a parabola. (iv) is a parabola, but only on the right hand side, so where x is a non-negative real number.

    How would I graph (ii) and (iii)

    For instance, for (ii) the function has a domain of non-negative real numbers, but has a co-domain of all real numbers.

    Or (iii) function has a domain of real numbers but codomain of non-negative real numbers.
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor

    Joined
    Aug 2006
    Posts
    22,411
    Thanks
    3299
    Awards
    1

    Re: how to graph this function

    Quote Originally Posted by math951 View Post
    https://imgur.com/lK1xqqU
    so (i) is just a parabola. (iv) is a parabola, but only on the right hand side, so where x is a non-negative real number.
    How would I graph (ii) and (iii)
    For instance, for (ii) the function has a domain of non-negative real numbers, but has a co-domain of all real numbers.
    Or (iii) function has a domain of real numbers but codomain of non-negative real numbers.
    Note that the graphs of (II), & (IV) are identical, but the functions are different.
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jul 2015
    From
    United States
    Posts
    519
    Thanks
    10

    Re: how to graph this function

    For two functions to be equal, they must have the same domain, codomain, and image. Clearly, these four are not the same functions, but you are telling me that these four are all the same graph?
    Follow Math Help Forum on Facebook and Google+

  4. #4
    Super Member
    Joined
    Jul 2015
    From
    United States
    Posts
    519
    Thanks
    10

    Re: how to graph this function

    So domain is all values of x essentially (the input). And Codomain is all possible output values of y. Range is different from codomain, because codomain is all possible output values, whereas, range is just the actual output values. So our function is f(x)=x^2

    we know that x^2=0. So, y has to be greater than or equal to 0!

    So with this in mind, if we have the function from the set of non-negative real numbers to the set of real numbers defined by f(x)= x^2...this means that, our x input has to be x greater than or equal to 0. And our codomain is all real numbers.... but we know y has to be greater than or equal to 0...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Nov 15th 2015, 09:08 AM
  2. Replies: 2
    Last Post: Aug 26th 2009, 04:51 AM
  3. Graph the function?
    Posted in the Algebra Forum
    Replies: 3
    Last Post: Apr 24th 2009, 06:20 AM
  4. Graph of a Function
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: May 28th 2008, 10:30 PM
  5. Graph of the Function
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: Jan 26th 2007, 08:10 AM

/mathhelpforum @mathhelpforum