# How do you graph, identify the domain, range, and asymptotes for y=-2tan2x+3?

Dec 9, 2017

See below.

#### Explanation:

Tangent functions are in the form:

$y = a \cdot \tan \left(b \left(x - c\right)\right) + d$

where $a$ is any vertical stretch or compression, $b$ is any horizontal stretch or compression, $c$ is any horizontal shift, and $d$ is any vertical shift (note that there is no amplitude since this is a tangent function).

One thing to note in your case is that tangent functions always have a range of all real numbers.

I hope that helps!