Question

determine wether the givenfunction is even odd neither f(x)= x^3-4x

Answer 1

A function is even if \(f(-x)=f(x)\), odd if \(f(-x)=-f(x)\), and neither if none of these are true.

If \(f(x)=x^3-4x\), then \(f(-x)=(-x)^3-4(-x)\). How does the sign compare to \(f(x)\)?

Answer 2

you would have opposite signs for both x and 4 so odd

Answer 3

That's right.