Hey there! Sign in to join this conversationNew here? Join for free
    • Thread Starter
    Offline

    1
    ReputationRep:
    how to draw
    y = (x+1)/ (x^2 +2x + 2)

    thanks
    Offline

    0
    ReputationRep:
    Asymptotes - my favourite.

    Your bottom line doesnt factorise (b^2 - 4ac < 0 (so there is no vertical asumptote)

    As x tends to positive or negative infinity y tends towards 0 so y = 0 is your horizontal asumptote.

    Now investigate the approach. SHove in + or - infinity in your equation and see if it comes out positive or negative.

    If its positve it approachs from above when the line goes right (+)

    Vice versa i its negative.

    Now differentiate and find stationary points using the product rule. Justify their natures by differentiating again.

    Following this set the equation to 0 to find x itnercpets and find f(0) to find y intercepts.

    Then sketch. These questions if done proper;y take a few sides of lined paper (if they are being marked strictly)
    • Thread Starter
    Offline

    1
    ReputationRep:
    ahh thanks, yeah its looks like a pretty long process, i guess i was trying to look for a quick way out :P thanks again
    Offline

    0
    ReputationRep:
    (Original post by kcfch)
    ahh thanks, yeah its looks like a pretty long process, i guess i was trying to look for a quick way out :P thanks again
    No worries. In a recent (easy) test I had, the whole thing took me about 25 mins. About 15 of those was drawing the graph..
    • Thread Starter
    Offline

    1
    ReputationRep:
    ahh i've just tried it and realised that you dont need to differentiate and find stationary points
    i just stuck in x = 0 and y = 0
    and then tried in positive and negative infinity for x
    its pretty straight forward this one is actually, ah well, thanks again
 
 
 
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • Poll
    What's your favourite Christmas sweets?
    Useful resources

    Make your revision easier

    Maths

    Maths Forum posting guidelines

    Not sure where to post? Read the updated guidelines here

    Equations

    How to use LaTex

    Writing equations the easy way

    Student revising

    Study habits of A* students

    Top tips from students who have already aced their exams

    Study Planner

    Create your own Study Planner

    Never miss a deadline again

    Polling station sign

    Thinking about a maths degree?

    Chat with other maths applicants

    Can you help? Study help unanswered threads

    Groups associated with this forum:

    View associated groups
  • See more of what you like on The Student Room

    You can personalise what you see on TSR. Tell us a little about yourself to get started.

  • The Student Room, Get Revising and Marked by Teachers are trading names of The Student Room Group Ltd.

    Register Number: 04666380 (England and Wales), VAT No. 806 8067 22 Registered Office: International House, Queens Road, Brighton, BN1 3XE

    Quick reply
    Reputation gems: You get these gems as you gain rep from other members for making good contributions and giving helpful advice.