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

Answer 1

It is ODD.

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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Answer 2

Sadie Ackerman

The function ( f(x) = x^5 - 16x ) is an odd function.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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