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# The P5 (20th June) Thread watch

1. (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?
2. For odd functions, f(x)=-f(-x)
3. (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).
4. je comprend maintenant, merci
5. (Original post by inequality)
Ahh yes sorry. Where do I get little delta then?
\delta in tex
6. (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
7. 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

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