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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