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May 13, 2026, 11:02:40 am
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Author Topic: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.  (Read 4477 times)  Share 

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HungTran2009

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Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« on: January 15, 2010, 10:16:17 pm »
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I have no idea how to show this :S

Please help if you know how to :D
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TrueTears

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #1 on: January 15, 2010, 10:17:29 pm »
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-f(x) = f(-x)

Evaluate -f(x) and f(-x)

They should be equal.
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HungTran2009

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #2 on: January 15, 2010, 10:18:14 pm »
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Oh...

Could you show me how the working should look?
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brightsky

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #3 on: January 15, 2010, 10:19:55 pm »
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« Last Edit: January 15, 2010, 10:22:36 pm by brightsky »
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HungTran2009

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #4 on: January 15, 2010, 10:23:42 pm »
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Hmm...

Is that all the working that's required?
:S
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HungTran2009

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #5 on: January 15, 2010, 10:27:27 pm »
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Thank you both for the help :)
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stonecold

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #6 on: January 15, 2010, 10:29:36 pm »
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wow, that was easy for spesh!
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HungTran2009

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #7 on: January 15, 2010, 10:30:13 pm »
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Agreed (y)
Haha
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m@tty

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #8 on: January 15, 2010, 10:30:44 pm »
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It's in Methods too I believe.
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kyzoo

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #9 on: January 15, 2010, 10:31:24 pm »
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0.o isn't this Methods?
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samuch

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #10 on: January 15, 2010, 10:33:20 pm »
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maybe its in both?
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stonecold

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #11 on: January 15, 2010, 10:33:34 pm »
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whilst this thread is alive, I have a quick question.

A function is neither even or odd when sometimes f(x)=f(-x) and other times -f(x)=f(-x) depending on the values of x used.

correct?
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TrueTears

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #12 on: January 15, 2010, 10:35:52 pm »
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Not all functions are classified as even or odd.

Yes, that is correct.
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HungTran2009

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #13 on: January 15, 2010, 10:36:12 pm »
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I have another qs:

How do I show that f(x) ≤ 1

Do I need to find the maximum turning point and show that it's (1,1) ?
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stonecold

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Re: Help please: Show that f(x)= (2x)/(1+x^2) is an odd function.
« Reply #14 on: January 15, 2010, 10:40:46 pm »
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you have to let the denominator be equal to 0, then solve the equation.

edit: actually i think i am wrong sorry.
« Last Edit: January 15, 2010, 10:44:12 pm by stonecold »
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