Is the function $f(x) = x^5 - 16x$ even, odd or neither?

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Is the function $f(x) = x^5 - 16x$ even, odd or neither?

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Answer 1 · 2015-07-24T21:53:49

It is ODD.

Explanation:

You have that:
ODD function if $f(-x)=-f(x)$
EVEN function if $f(-x)=f(x)$
Let us try with $x=-1$ and $x=1$
$f(-1)=(-1)^5-16(-1)=-1+16=15$
$f(1)=(1)^5-16(1)=1-16=-15$
So $f(-1)=-f(1)$ then ODD.

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Is the function $f(x) = x^5 - 16x$ even, odd or neither?

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Explanation:

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