# Properties of functions

## Increasing and decreasing functions

A function of increasing

if ,

for all of the region definitions (with the increase of the argument the corresponding points of the graph ascending stems)

The function of the descending

if ,

for all of the region definitions (with the increase of the argument the corresponding points of the graph omitted)

## Even and odd functions

Function even

for all of the region definitions. The graph of an even function is symmetrical to the axis vanocni

A function is odd

for all of the region definitions. The graph of an odd function is symmetric vanocni the origin.

## The frequency

Definition: a Function is called periodic with period if for any of the determining function of the number and also belong to the scope and the validity of the equation

.

Through the gaps in length of the graph of a periodic function repeats itself.

### Period features

Functions have period .

Functions have period .

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