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. The Captain

    The Captain Member

    Joined:
    Jun 18, 2003
    Messages:
    39,043
    Likes Received:
    38,603
    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. The Captain

    The Captain Member

    Joined:
    Jun 18, 2003
    Messages:
    39,043
    Likes Received:
    38,603
  6. apollo33

    apollo33 Member

    Joined:
    Feb 27, 2009
    Messages:
    20,849
    Likes Received:
    17,472
    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:
    2,618
    Likes Received:
    861
    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:
    2,618
    Likes Received:
    861
    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:
    2,618
    Likes Received:
    861
    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:
    2,618
    Likes Received:
    861
    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:
    2,618
    Likes Received:
    861
    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:
    14,608
    Likes Received:
    1,902
    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:
    2,618
    Likes Received:
    861
    lol. this is basic algebra. either 8th, 9th, or freshman college algebra.
     
  20. mvpcrossxover

    mvpcrossxover Member

    Joined:
    Aug 13, 2008
    Messages:
    37,729
    Likes Received:
    21,115

Share This Page