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Determine whether f is even, odd, or neither?by akt223
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#1
Jan305, 03:52 PM

P: 2

I've tried looking through my book to see how to do these, but I just can't find it. Any help would be appreciated:
1) f(x) = 2x^5  3x^2 +2 2) f(x) = x^3  x^7 3) f(x) = (1x^2)/(1+x^2) 4) f(x) = 1/(x+2) Thanks in advance! 


#2
Jan305, 03:55 PM

Sci Advisor
PF Gold
P: 1,469

the definition of an even and an odd function is as follows:
[tex] f(x) = f(x) [/tex] is and even function and [tex] f(x) = f(x) [/tex] is an odd function. 


#3
Jan305, 04:01 PM

P: 2

Alright, I think I get it, thanks.



#4
Jan305, 05:05 PM

Math
Emeritus
Sci Advisor
Thanks
PF Gold
P: 39,339

Determine whether f is even, odd, or neither?
It is also true (easy to prove) that a rational function (polynomial or quotient of polynomials) is even if and only if all exponents of x are even, odd if and only if all exponents of x are odd.
Of course, functions don't always have "exponents"! sin(x) is an odd function and cos(x) is an even function. 


#5
Jan305, 05:19 PM

P: n/a




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