even odd periodic or maybe even monotonic

[simonjordan2008]

I need to find out if this function is even/odd/periodic/monotonic

f(x) = 2x^4 - 3x

I think I am right in saying it is neither odd nor even

is it even? when f(x) = f(-x)

f(-x) = 2(-x)^4 - 3(-x)
= 2x^4 + 3x therfore because of above rule not even ??

is it odd? -f(x) = f(-x)

-f(x) = -(2x^4 - 3x) = -2x^4 +3x which does not equal f(-x)

so not odd??

if so how do i tell if it is monotonic or periodic Im not sure what graph looks like. don't think it is periodic but maybe monotonic increasing. please help

 

[royhaas]

A function may be monotonic increasing with respect to one interval and decreasing with respect to another.

 

[stapel]

Duplicate post.