Let f be defined by f(x) = x3 - kx2 + 2x, x ∈ R. Find k, if 'f' is a

1.	Let f be defined by f(x) = x3 - kx2 + 2x, x ∈ R. Find k, if 'f' is an odd function.
Answer» For a polynomial function to be an odd function each term should have odd powers pf x. Therefore there should not be an even power of x term. ∴ k = 0.

Let f be defined by f(x) = x3 - kx2 + 2x, x ∈ R. Find k, if 'f' is an odd function.

Answer»

For a polynomial function to be an odd function each term should have odd powers pf x.

Therefore there should not be an even power of x term.

∴ k = 0.