How is it? (1 Viewer)

[kittyful]

How is that x^3 over x^4 - x^2 is an odd function?

And how is it that 1 over x^3 - 1 is neither ?

im so confused with all this odd and even function :S

 

[hscishard]

Fuck wtf. I gotta type this up again?!

Any number to the power of an even power is always positive.
A negative numebr to the power of an odd power is negative.
A pos number to the power of an odd number is positive.

Skipping to the last one
f(x) = 1/x^3 -1

f(-x) = 1/ (-x)^3 - 1
= 1/ -x^3 - 1
=- 1/(x^3+1)

-f(x)= - 1 / x^3 - 1

As you can see, f(-x) is neither f(x) or -f(x). Hence it's neither.

 

[random-1006]

Fuck wtf. I gotta type this up again?!

Any number to the power of an even power is always positive.
A negative numebr to the power of an odd power is negative.
A pos number to the power of an odd number is positive.

Skipping to the last one
f(x) = 1/x^3 -1

f(-x) = 1/ (-x)^3 - 1
= 1/ -x^3 - 1
=- 1/(x^3+1)

-f(x)= - 1 / x^3 - 1

As you can see, f(-x) is neither f(x) or -f(x). Hence it's neither.

lol calm down, shes just asking a question, some people dont get this odd/even/neither stuff first time round

Also @Kitty: post maths questions in the maths forums, not general discussion, and the title of the thread doesnt really indicate that its a maths question, just for future posts

 

[maths94]

lol calm down, shes just asking a question, some people dont get this odd/even/neither stuff first time round

+ 1

 

[hscishard]

Whoops. Didin't add the context.

I wrote approx 12 lines of working out, posted it only for the *error-your message must contain at least 1 character*

Sorry for any emotion distress..

 

[kittyful]

Thanks guys