# How do you find the domain, range, and asymptote for #y = 1 - tan ( x/2 - pi/8 )#?

##### 1 Answer

Ask yourself where the function is defined.

#### Explanation:

The function

The domain is

*An asymptote of a curve is a line such that the distance between the curve and the line approaches zero as one or both of the x or y coordinates tends to infinity.*(from wikipedia)

In this case the asymptotes are vertical lines

Read more about asymptotes .

Some help:

1.

Remember about

Look at the unit circle, the distance between the x-ax and the intersection of the green and blue line is

graph{tan(x) [-5, 5, -2.5, 2.5]}

2.

You can use this graphing calculator write in