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The P5 (20th June) Thread

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Reply 20
Avatar for Master Gee
Master Gee
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?
Reply 21
Avatar for Showsni
Showsni
1
For odd functions, f(x)=-f(-x)
Reply 22
Avatar for Gaz031
Gaz031
15
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).
Reply 23
Avatar for Master Gee
Master Gee
je comprend maintenant, merci
Reply 24
Avatar for RichE
RichE
15
inequality
Ahh yes sorry. Where do I get little delta then?


\delta in tex
Reply 25
Avatar for RichE
RichE
15
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
Reply 26
Avatar for Master Gee
Master Gee
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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