# How do you graph, identify the domain, range, and asymptotes for #y=sec(x-pi/2)#?

##### 1 Answer

#### Answer:

The domain is

The range is all real numbers.

The asymptotes occur at

To graph, see below.

graph{sec(x-pi/2) [-7.87, 6.177, -3.19, 3.833]}

#### Explanation:

Secant is the inverse of the cosine function, so it is asymptotal.

The range is all real numbers (remember secant, cosecant, tangent, and cotangent all hug their asymptotes).

The domain of the function is all the points except where the helper function (

To graph, first graph the helper function