If f of x is an odd function, which statement about the graph of f of x must be true?

An odd function satisfies f(-x) = -f(x). This means that whenever (x, f(x)) is on the graph, (-x, -f(x)) is also on it, so the graph has rotational symmetry about the origin. Therefore, the correct statement is “It has rotational symmetry about the origin.”

AI-written and checked against the verified answer.