SOLUTION: Is the following function even, odd, or neither? f(x)=3x^8-4*|x|.

Algebra ->  Functions -> SOLUTION: Is the following function even, odd, or neither? f(x)=3x^8-4*|x|.      Log On


   

Question 900242: Is the following function even, odd, or neither? f(x)=3x^8-4*|x|.
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
if
f(–x) = f(x) (even)
or
f(–x) = -f(x) (odd)
.
plug -x into f(x):
f(-x)=3(-x)^8-4*|-x|
f(-x)=3x^8-4*|x|
since this looks exactly like f(x) the function is:
EVEN