Is the function f(x)=x5−16x even, odd or neither?

1 Answer
Gió
Jul 24, 2015

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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