Even and Odd Functions: Definition, Examples, and Symmetry

An even function is a function where f(-x) = f(x) for all x in the domain. In other words, the function is symmetrical about the y-axis. Examples of even functions include y = x^2 and y = cos(x).

An odd function is a function where f(-x) = -f(x) for all x in the domain. In other words, the function is symmetrical about the origin. Examples of odd functions include y = x^3 and y = sin(x).