# What is the domain and range of #y = tan(2x)#?

##### 1 Answer

Domain:

Range:

#### Explanation:

Let us first look at the graph of

graph{tan(2x) [-8.41, 9.37, -3.74, 5.146]}

We can see that it has recurring vertical asymptotes, which means that the function is undefined at all these points.

To find the asymptotes, we will look at the following identity:

This equation tells us that the vertical asymptotes occur when

Since the function is defined for all but those

Next we want to look at the range, and we see on the graph that it goes from