# How do you find the amplitude, period, asymptotes (from 0-2pi), shifts, and the min/max of the following trig functions #Y= 2tan ( theta - pi/4)#?

##### 1 Answer

See below.

#### Explanation:

The tan function has no max/min value and consequently no amplitude. This is because:

as **undefined**

The shift is

Vertical asymptotes will occur where the function is undefined. This can be calculated using:

**( this is for the given interval )**

Period.

This can be found from two values where the tangent is zero. i.e.

So:

**Amplitude** Doesn’t exist due to being undefined.

**Period**

**max/min** Doesn’t exist due to being undefined.

**shift**

**Asymptotes** At

Graph: