which function is odd
Geometrically, such functions are symmetric about the origin. Examples of odd functions include, , the sine, hyperbolic sine, tangent, hyperbolic tangent, error function erf, inverse erf, and the Fresnel integrals, and.
DEFINITION. A function f is even if the graph of f is symmetric with respect to the y-axis. Algebraically, f is even if and only if f(-x) = f(x) for all x in the domain of f. A function f is odd if the graph of f is symmetric with respect to the origin. Algebraically, f is odd if and only if f(-x) = -f(x) for all x in the domain of f. 1  Discussion [ Using Flash 2  ]. Examples. 3  An interactive LiveMath notebook to visualize symmetry with respect to the origin.