Where am I going wrong? "Algebraically, is f(x) = |2x| odd, even, or neither?" I keep on getting odd, but it's apparently even ): thank you very much!

Question

anonymous · Answer

How would it be odd?  Think through what happens when you multiply numbers by 2... are the answers odd or even?  Does it matter whether you start with an odd or even number?

anonymous · Answer

check with a number
if $x=5$ you get 10 and if $x=-5$ you also get 10
that is a good indication that it is even

anonymous · Answer

@JakeV8  "even" in this case does not mean you have an even number
it means $f(-x)=f(x)$

anonymous · Answer

And the absolute value operator doesn't change anything on this one, right?

anonymous · Answer

oh, my error :(

anonymous · Answer

Is it about symmetry?

anonymous · Answer

yes it is! ^^ I suppose I've been subbing in (-x) wrong...

anonymous · Answer

@satellite73   Thanks for the correction, not enough time spent reading/thinking about the question before starting typing :)  (= "room for improvement")

anonymous · Answer

even functions are symmetric about y axis.
odd functions are symmetric about origin .
graph of f(x)=|2x} is which is symmetric about y axis.