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Question 54495: determine wheather the given function is even, off, or niether, thank you
f(x)=x^3-5x
Answer by Born2TeachMath(20)   (Show Source):
You can put this solution on YOUR website! An even function is one where all of the exponents of x are even numbers.
An odd function is one where all of the exponents of x are odd numbers.
A function is neither if the exponents of x are both even and odd.
And remember that constants (numbers by themselves) are of even power, since 3 = 3*(x^0)!!
Therefore, your function:
f(x) = x^3 - 5x is an odd function, since 3 and 1 are both odd (x^3 and x^1).
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