Basic properties of functions

The basic properties of functions include boundedness, monotonicity, parity and continuity. Let the real function be a real variable, and if f(-x)=-f(x), then f(x) is odd function. Let f(x) be a real function, and if f(x)=f(-x), then f(x) is an even function. Continuity is an attribute of a function, and a continuous function is a function in which the change of the input value is small enough and the change of the output is small enough.