1. Not finding help here? Sign up for a free 30min 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!

A weird domain and range? anybody up for a challenge

  1. Apr 3, 2005 #1
    A weird domain and range???? anybody up for a challenge

    y=x^2-2x+1 / x^2-x-2

    try it on the gfx calculator and check if this domain and range is right

    i wrote

    Domain ( -infinity, -1 ) union (-1,2) union ( 2, infinity)

    range (-infity, 0) union (-1 to infity)

    is there an easier way to write the domain and range instead of this format thats assuming this is even right heh please englighten me thanks
     
  2. jcsd
  3. Apr 3, 2005 #2
    Is that a typo on your range?
     
  4. Apr 3, 2005 #3
    Domain is correct, you can rewrite it as [itex]\{ x \in \mathbb{R} \ | \ 2 \neq x \neq -1\}[/itex] if you want.

    Range is harder... you're going to need to differentiate it to see where it has minima. I get

    [tex] \biggr\{ y \in \mathbb{R} \ \biggr| \ y \leq 0 \ \mbox{or} \ y \geq \frac{8}{9}\biggr\}[/tex]
     
    Last edited: Apr 3, 2005
  5. Apr 4, 2005 #4

    dextercioby

    User Avatar
    Science Advisor
    Homework Helper

    It is correct.The function doesn't have values in the domain [itex] \left(0,\frac{8}{9}\right) [/itex]

    [itex] \mathcal{R}\left( y\right)=\mathbb{R}\diagdown \left(0,\frac{8}{9}\right) [/tex]


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

Have something to add?



Similar Discussions: A weird domain and range? anybody up for a challenge
Loading...