tell if even,odd,or neither

Thank you for the opportunity to help you with your question!

f(-x)=-x^3+x^2-x+1

=-(x^3-x^2+x-1)

which is not equal to f(x) and -f(x)

hence it is neither odd nor even.

Thank You

could you show me how to determine if its even,or odd I mean why its not even or odd

Okay.

See if

f(-x)=f(x) than function is even.

If f(-x)=-f(x) than function is odd.

If both theconditions are not satisfied than it is neither.

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