Domain and range c3 question

Announcements Posted on
TSR looking different to you this week? Find out why here. 02-12-2016
    • Thread Starter
    Offline

    3
    ReputationRep:
    Name:  1476609985013952323006.jpg
Views: 28
Size:  298.0 KB hi, I would like some help with Q6b and Q6c please. Since x >1 surely the biggest y value can only be 4/3 so for the range I got 0<f x <4/3 but the answer is x can't be 0 why ???

    Cheers
    Online

    3
    ReputationRep:
    (Original post by coconut64)
    Name:  1476609985013952323006.jpg
Views: 28
Size:  298.0 KB hi, I would like some help with Q6b and Q6c please. Since x >1 surely the biggest y value can only be 4/3 so for the range I got 0<f x <4/3 but the answer is x can't be 0 why ???

    Cheers
    Draw the graph, as x gets larger f(x) gets smaller, it tends to 0, but the fraction cannot equal 0, so there is an asymptote at y=0
    • Thread Starter
    Offline

    3
    ReputationRep:
    (Original post by NotNotBatman)
    Draw the graph, as x gets larger f(x) gets smaller, it tends to 0, but the fraction cannot equal 0, so there is an asymptote at x=0
    Name:  1476611072306952323006.jpg
Views: 22
Size:  313.0 KB Isnt the x asymptote at x=-1/2? Since it shifts to left by 1 then halved . ... The graph I drew indicates that all the y values can only be 4/3 to 0 as x>1. Thanks
    Online

    3
    ReputationRep:
    (Original post by coconut64)
    Name:  1476611072306952323006.jpg
Views: 22
Size:  313.0 KB Isnt the x asymptote at x=-1/2? Since it shifts to left by 1 then halved . ... The graph I drew indicates that all the y values can only be 4/3 to 0 as x>1. Thanks
    Sorry, I meant at y=0 , and the range of y values is less than 4/3 and greater than 0, so you've got it right.
    Offline

    3
    ReputationRep:
    to draw y = 4/ { 2x + 1 }

    i) draw y = 1/x : you should know what this looks like.

    ii) move it 1 unit left

    iii) squash horizontally by a factor of 2

    iv) stretch vertically by a factor of 4

    :hat2:*
 
 
 
Write a reply… Reply
Submit reply

Register

Thanks for posting! You just need to create an account in order to submit the post
  1. this can't be left blank
    that username has been taken, please choose another Forgotten your password?
  2. this can't be left blank
    this email is already registered. Forgotten your password?
  3. this can't be left blank

    6 characters or longer with both numbers and letters is safer

  4. this can't be left empty
    your full birthday is required
  1. Oops, you need to agree to our Ts&Cs to register
  2. Slide to join now Processing…

Updated: October 16, 2016
TSR Support Team

We have a brilliant team of more than 60 Support Team members looking after discussions on The Student Room, helping to make it a fun, safe and useful place to hang out.

Today on TSR
Poll
How are you feeling about doing A-levels?
Useful resources

Make your revision easier

Maths

Maths Forum posting guidelines

Not sure where to post? Read here first

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
Study resources

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.