Question

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

Answer 1

See below.

Explanation:

Tangent functions are in the form:

`y=a*tan(b(x-c)) + 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!