even and odd functions and neither (1 Viewer)

[pLuvia]

even functions are
f(-x) = f(x)

odd functions are
f(-x) = -f(x)

when is it neither of them?? and please give me an example of one

 

[香港!]

even functions are
f(-x) = f(x)

odd functions are
f(-x) = -f(x)

when is it neither of them?? and please give me an example of one

"neither":
f(x)=-f(-x)??

 

[acmilan]

neither is when neither of those two are true.

eg. y = x²/e^x

 

[damo676767]

an even function has symety around the y axis

eg f(x) = x^2

an odd funtion has rotation symetry

eg f(x) = x^3

an one that is either has no symetry, it cold look like anything

eg f(x) = e^x

 

[pLuvia]

in this question is this even, odd, or neither

x + 2 , x<-1
f (x) } x^2 - 2, -1 =<= x =<= 1
2 - x, x >1

 

[*fkr]

even as its symetrical about the x axis

 

[allthatglitters]

just wondering.. im in yr 11 doing ext 1 maths and wanna drop it. am i more likely to get a better UAI if i keep it and go average, or drop it and do better in 2u??

 

[rama_v]

just wondering.. im in yr 11 doing ext 1 maths and wanna drop it. am i more likely to get a better UAI if i keep it and go average, or drop it and do better in 2u??

Depends what you mean by 'average'. If you stick to 3 unit ur 2 unit maths skills will definitley increase. I used to think 3 unit was impossible but once u put in the effort especially in yr 12 it becomes a lot easier. On the other hand if u hate maths, then well it may be better to just do 2 unit.

 

[pLuvia]

even as its symetrical about the x axis

is that the only reason?? isnt it neither though??

 

[*fkr]

draw it up and check it out

 

[*fkr]

im not sure if you can prove it the usual f(-x) way as its all over the place

 

[pLuvia]

omg.... lol.. i put neither crossed it out, put even crossed it out.. then put neither again.. ><" fark.. one mark gone

 

[YBK]

Replace "x" by a number and u'll get enlightened!

 

[Templar]

im not sure if you can prove it the usual f(-x) way as its all over the place

Actually, you can. Just with 2 cases, |x|<=1 and |x|>1