Prove algebraically and explain grahically why a polynomial that is an odd function is no longer an odd function when a non-zero constant is added. Provide examples.
Thanks in advance :P
So if you add a constant, say m, then let Q(x)=P(x)+m.
The thing is now to prove that Q is not odd.
Do you quite understand ?
Graphically, adding a constant means to level up (or down) the curve. Will it still be symmetric wrt the center of the graph ?