1. Welcome! Please take a few seconds to create your free account to post threads, make some friends, remove a few ads while surfing and much more. ClutchFans has been bringing fans together to talk Houston Sports since 1996. Join us!

Find the Domain and Range of these problems:

Discussion in 'BBS Hangout' started by TheGreat, Oct 12, 2011.

  1. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    What would be the domain of (1/x+2^2) + squareroot of 1-x?


    What would be the domain and range of square root of 9-xsquared?
     
  2. Xerobull

    Xerobull ...and I'm all out of bubblegum

    Joined:
    Jun 18, 2003
    Messages:
    37,039
    Likes Received:
    35,980
    www.tutor.com

    $10 for an intro 30 mins. Multiple CCs+multiple emails+multiple accounts=multiple intro rates.
     
  3. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    Anybody want to be a tutor for these 2 problems??
     
  4. Classic

    Classic Member

    Joined:
    Dec 21, 2007
    Messages:
    6,101
    Likes Received:
    608
    I could tell you if I could step back in time about 12 years

    Amazing how fast advanced math leaves you if you don't work with it. Good luck.
     
  5. Xerobull

    Xerobull ...and I'm all out of bubblegum

    Joined:
    Jun 18, 2003
    Messages:
    37,039
    Likes Received:
    35,980
  6. apollo33

    apollo33 Member

    Joined:
    Feb 27, 2009
    Messages:
    20,803
    Likes Received:
    17,369
    Graph it on wolfram alpha and look at it
     
  7. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    Graph shows points at (-3, 0), (3,0), and (0,3) as a semi circle for the squareroot of 9-xsquared, so would the domain me [-3, 3] and the range (0,3)??
     
  8. thadeus

    thadeus Member

    Joined:
    Sep 14, 2003
    Messages:
    8,313
    Likes Received:
    726
    No. You find it.
     
  9. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    on the second problem, I think the domain is -3 < x < 3. I'm not sure how you write that with the parentheses and brackets. The range should be 0 < y < 3.

    on the first problem, is the x+2 squared or what?
     
    1 person likes this.
  10. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    yes plates, it is squared!
     
  11. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    ok so the denominator cannot be zero, so that means x cannot equal -2 for that part of the equation. now for the sqrt of 1-x, x < 1 since the sqrt cannot be negative. combine that and you get (-infinity, -2) u (-2,1). I think you can figure out the range from there...
     
  12. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    it should be (-2,1] since you can include 1 in the domain.
     
  13. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    Plates im confused if its a bracket or a paranthesis, I think with the bracket, it means it includes the outside number, and if it was paranthesis it would not include it..

    For example

    (0, 5) would be like numbers 0-5 NOT including 0 and 5

    [0, 5] would be numbers INCLUDING 0 and 5...

    So was the answer ou gave me for the domain right??
     
  14. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    yes I gave you the domain. and yes, parentheses means it does not include and brackets mean the number is included.

    so it should be (-infinity, -2) u (-2,1]
     
  15. TheGreat

    TheGreat Member

    Joined:
    Apr 14, 2008
    Messages:
    5,747
    Likes Received:
    423
    Ok thank you bro!

    So [-3, 3] and the range (0,3) looks right for the square root of 9 - xsquared?
     
  16. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    I believe so. Don't hold me accountable lol. Checking it on a graph is the easiest way. and range should be [0,3]
     
  17. Dairy Ashford

    Dairy Ashford Member

    Joined:
    May 20, 2002
    Messages:
    14,585
    Likes Received:
    1,888
    First one's domain looks like all real numbers greater than 1 except for -4; or (0,1]. The range looks like 5 to infinity, but you have not written this problem very well.

    The domain on the second one could be [-3,3]. The range would then be [0,9].
     
  18. YaosDirtyStache

    Joined:
    Sep 28, 2009
    Messages:
    3,433
    Likes Received:
    656
    What grade are you in yo? 4th?
     
  19. plates300

    plates300 Member

    Joined:
    Feb 18, 2009
    Messages:
    2,608
    Likes Received:
    845
    lol. this is basic algebra. either 8th, 9th, or freshman college algebra.
     
  20. mvpcrossxover

    mvpcrossxover Member

    Joined:
    Aug 13, 2008
    Messages:
    32,076
    Likes Received:
    15,974

Share This Page