INDEX
Numbers and Sets
Complex Numbers
Exponentiation
Algebraic Transformations
Algebraic Equations and Inequalities
Discrete Algebra
Basic Formulas
Graphics of Basic Functions
Functions
Ship 2

Basic Conceptions

Cartesian Coordinate System

Domain and Range

Inverse Functions

Even-Odd Symmetry of Functions

Periodicity of Functions

Exponential and Logarithmic Functions

Exponential Functions

Logarithmic Functions
  Natural Logarithms

Sets and Intervals

Hyperbolic Functions


Periodicity of Functions
Key Topics Remaining:  » Exponential Functions » Logarithmic Functions » Natural Logarithms

A function f ( x ) is called a periodic function if there exists a positive number T such that

f ( x + T ) = f ( x )

for all x in the domain of  f ( x ).

The smallest number T is called the period of the function.

All trigonometric functions are periodic functions.

Example of a periodic function is shown in the figure below.


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