The function

is called a

(S)

(C)

(T)

**Period.**
The tangent function is periodic with period , since

**Vertical asymptotes.**
The lines and
are the vertical asymptotes of , since

as
and as
.

Recall that ``
'' means
`` approaches from the
for every interger

is the vertical asymptote for ,
since it is periodic with period .
**Domain and range.**
and
.

Department of Mathematics