## 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 *