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HeartyBowl · 02-01-2012, 01:46 AM

I think example 6 in the "odd and even functions" section might be a typo.

it says "X^4 + y^2 = 10 is an odd rlation because
(-x)^4 + (-y)^2 = x^4 + y^2 = 10. Note that x^4 + y^2 = 10
is both even and odd"

How can a function be both even and odd?
I even searched on Google if it is possible to have a function that is both
even and odd and most people were saying that the only function that could do this
is "f(x) = 0"

if you try f(-x) = (-x)^4 + y^2 = 10 then it just gives you the original answer back
which should mean that the function is even. I have no idea where the book got the "both even and odd" part. someone please explain.

02-01-2012, 01:46 AM	#1
HeartyBowl Junior Member Join Date: Jan 2012 Posts: 213	Typo in Barron's Sat II Math 2? I think example 6 in the "odd and even functions" section might be a typo. it says "X^4 + y^2 = 10 is an odd rlation because (-x)^4 + (-y)^2 = x^4 + y^2 = 10. Note that x^4 + y^2 = 10 is both even and odd" How can a function be both even and odd? I even searched on Google if it is possible to have a function that is both even and odd and most people were saying that the only function that could do this is "f(x) = 0" if you try f(-x) = (-x)^4 + y^2 = 10 then it just gives you the original answer back which should mean that the function is even. I have no idea where the book got the "both even and odd" part. someone please explain.
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