How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even? Thank you.

Question

Arun · Answer

Dear Sahil for odd function f(-x) = – f(x) in odd degree polynomial when x is replqced by – x then it negative sign comes outside hence it will be an odd function. for even function, f(-x) = f(x)

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How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even? Thank you.

How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even?
Thank you.

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How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even? Thank you.

How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even?Thank you.

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How to check that polynomials with ALL odd powers of x are odd and a function with ALL even powers of x is even?
Thank you.