# Why is tan x an odd function

## 4. Function y = tan x and its properties

The function is well-defined, is an odd and periodic function with a period.

Because of these properties, it is sufficient to create the graph in the interval.

For the creation of the graph we choose those points whose coordinates we already know:

By representing them point-symmetrically to the origin, one obtains the graph in the interval.

With the help of the periodicity one then creates the graph of the function \ (y = tan x \) in the entire definition range.

Features of the function

1. The domain of the function is the set of all real numbers.

2. The range of values is the set of all real numbers.

3. The function is periodic with period.

4. The function is an odd function.

5. The function takes:

- the value \ (0 \) if.

- positive values in the intervals.

- negative values in the intervals.

6. The function increases in the intervals

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