Turn on thread page Beta
    • 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
 
 
 
Reply
Submit reply
Turn on thread page Beta
Updated: November 8, 2008

949

students online now

800,000+

Exam discussions

Find your exam discussion here

Poll
Should predicted grades be removed from the uni application process
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

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

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