Results 1 to 3 of 3

Math Help - Domain and Range

  1. #1
    Newbie
    Joined
    Mar 2013
    From
    Australia
    Posts
    2

    Domain and Range

    Hello, I do understand domains and ranges in general eg. f(x) = sin x, The Domain is (-infinity , infinity) and the range is [-1,1].

    It's just this question I don't understand:

    Suppose f is a function with domain [-2,28) and range [4,10]. Find the domain and range of the following functions






    Help would be appreciated
    Follow Math Help Forum on Facebook and Google+

  2. #2
    MHF Contributor
    Prove It's Avatar
    Joined
    Aug 2008
    Posts
    11,569
    Thanks
    1428

    Re: Domain and Range

    Quote Originally Posted by randomguy View Post
    Hello, I do understand domains and ranges in general eg. f(x) = sin x, The Domain is (-infinity , infinity) and the range is [-1,1].

    It's just this question I don't understand:

    Suppose f is a function with domain [-2,28) and range [4,10]. Find the domain and range of the following functions






    Help would be appreciated
    Think about the transformations that have to be taken from the function f(x) to get f(5x + 3) and 5f(x) + 3. The first has a dilation of factor 1/5 in the x direction and a translation of 3 units left, while the second has a dilation of factor 5 in the y direction and a translation of 3 units up.

    How do these transformations affect the domain and range of the original function?
    Follow Math Help Forum on Facebook and Google+

  3. #3
    Super Member
    Joined
    Jul 2012
    From
    INDIA
    Posts
    829
    Thanks
    209

    Re: Domain and Range

    For the function f(5x+3) will have the same domain as well as range.
    In the second case let the function be g(x) = 5 f(x) + 3 .
    Its domain will depend on the range is whatsoever is the range of f(x) i.e., [4,10] and range will be [ 5*4+3, 5*10+3] i.e., [23, 53]
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Domain and Range
    Posted in the Algebra Forum
    Replies: 1
    Last Post: July 3rd 2010, 03:26 AM
  2. Domain and range
    Posted in the Pre-Calculus Forum
    Replies: 2
    Last Post: June 1st 2010, 09:46 PM
  3. Replies: 6
    Last Post: September 16th 2009, 06:25 AM
  4. Domain and Range
    Posted in the Pre-Calculus Forum
    Replies: 1
    Last Post: September 15th 2009, 09:09 PM
  5. Domain And Range
    Posted in the Pre-Calculus Forum
    Replies: 4
    Last Post: May 3rd 2008, 09:31 PM

Search Tags


/mathhelpforum @mathhelpforum