elementary function
An elementary function is a real function (of one variable) that can be constructed by a finite number of elementary operations (addition
, subtraction
, multiplication and division) and compositions from constant functions
, the identity function
(), algebraic functions
, exponential functions
, logarithm functions, trigonometric functions
and cyclometric functions.
Examples
- •
Consequently, the polynomial functions, the absolute value
, the triangular-wave function , the power function
and the function are elementary functions (N.B., the real power functions entail that ).
- •
and are not elementary functions — it may be shown that they can not be expressed is such a way which is required in the definition.