if f(x) is an odd function, which statement about the graph of f(x) must be true? it has rotational symmetry…

if f(x) is an odd function, which statement about the graph of f(x) must be true? it has rotational symmetry about the origin. it has line symmetry about the line y = -x. it has line symmetry about the y - axis. it has line symmetry about the x - axis.

if f(x) is an odd function, which statement about the graph of f(x) must be true? it has rotational symmetry about the origin. it has line symmetry about the line y = -x. it has line symmetry about the y - axis. it has line symmetry about the x - axis.

Answer

Answer:

It has rotational symmetry about the origin.

Brief Explanations:

By definition, an odd - function satisfies $f(-x)=-f(x)$. Geometrically, this means that if we rotate the graph of an odd - function by 180 degrees about the origin, the graph coincides with itself, which is rotational symmetry about the origin.