Properties of functions of the root
n — even
n — odd
- Scope
- Multiple value
- Parity, odd parity
- The point of intersection with the axes
- Continuity and differentiability
- The increase and decrease of
- Mutually inverse functions
neither even nor oddodd
If , then
, i.e.
consequently, the graph passes through the origin
The function is continuous at every point of its region and has a derivative
The function increases throughout its region of definition
(if
) and
(if
) i
Graphics symmetrical about a straight
The graphs of root
![Функція кореня](http://cdn.cubens.com/contents/pictures/root-function-1.png)
![Функція кореня](http://cdn.cubens.com/contents/pictures/root-function-2.png)