Question

What is the domain and range of y=tan x?

Answer 1

Domain: `(theta|theta!=kpi/2`, where k is an odd integer)
Range: `(-oo,oo)`

Explanation:

Remember that `tan=sin/cos` therefore, you will have a vertical asymptope whenever cos=0. Cos=0 every odd multiple of `pi/2`.

If you plug y=tan(x) into a graphing calculator you will see that the ends of each section continue on infinitely along the y-axis.