SOLUTION: Determine if the function is even, odd, or neither. f(x) = -4x3 + 7x please explain in detail how to solve this I really want to understand it thank you.

Question 1071547: Determine if the function is even, odd, or neither.
f(x) = -4x3 + 7x
please explain in detail how to solve this I really want to understand it thank you.
Answer by math_helper(2461) (Show Source): You can put this solution on YOUR website!
Even functions have the property f(-x) = f(x) over all x in the domain of f.
Odd functions have the property f(-x) = -f(x) over all x in the domain of f.
--
is an example of an even function because f(-x) = f(x)
Try it:
--
is an example of an odd function because f(-x) = -f(x)
Try it:
�
On to the problem at hand:
Let's look at f(-x) and see how that relates to f(x):

=
=
=
The part in the parenthesis is nothing more than f(x):
=
Since f(-x) = -f(x) this function is an odd function.
�
Ans: is an ODD function.
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