Turn on thread page Beta
    Offline

    0
    ReputationRep:
    (Original post by inequality)
    Even functions are symmetric about the y axis, or to put it another way:

    f(x) = f(-x)

    cosh(x) = cosh(-x) [think in terms of e]

    therefore it's even.
    Cheers! Is an odd function the same as a one-one function or is that symmetrical about the x-axis?
    Offline

    1
    ReputationRep:
    For odd functions, f(x)=-f(-x)
    Offline

    15
    ReputationRep:
    (Original post by Master Gee)
    Cheers! Is an odd function the same as a one-one function or is that symmetrical about the x-axis?
    Odd and one-one have different meanings but one-one functions don't have to be odd. Eg f(x)=e^x is one to one but not odd.
    An odd function is not symmetrical about any axis but if (a,b) is on the the curve representing an odd function then so is (-a,-b).
    Offline

    0
    ReputationRep:
    je comprend maintenant, merci
    Offline

    15
    ReputationRep:
    (Original post by inequality)
    Ahh yes sorry. Where do I get little delta then?
    \delta in tex
    Offline

    15
    ReputationRep:
    (Original post by Gaz031)
    Odd and one-one have different meanings but one-one functions don't have to be odd. Eg f(x)=e^x is one to one but not odd.
    An odd function is not symmetrical about any axis but if (a,b) is on the the curve representing an odd function then so is (-a,-b).
    (the graphs of) odd functions have rotational symmetry of order 2 about the origin
    Offline

    0
    ReputationRep:
    When talking about hyperbolas and ellipses and the like, should you state the values of a, b and e as positive values or as +/- values??? Just wondering if it makes a difference in the exam

    Cheers
 
 
 
Turn on thread page Beta
Updated: June 19, 2005
The home of Results and Clearing

1,521

people online now

1,567,000

students helped last year

University open days

  1. Bournemouth University
    Clearing Open Day Undergraduate
    Wed, 22 Aug '18
  2. University of Buckingham
    Postgraduate Open Evening Postgraduate
    Thu, 23 Aug '18
  3. University of Glasgow
    All Subjects Undergraduate
    Tue, 28 Aug '18
Poll
How are you feeling about GCSE results day?
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.