# How do you find the domain and range of y = -tan(x - pi/2)?

Jul 23, 2017

Domain : $\left\{x | x \ne \pi + \pi \cdot n , n = \ldots - 1 , 0 , 1. .\right\}$ in radians.
Range: All reals

#### Explanation:

The domain is the values that x can take in the function. The

tangent functions have vertical asymptotes (at the end of every

period) and x has no values at these points, but does exist

everywhere else. So domain is as

$x - \frac{\pi}{2} \ne \frac{\pi}{2} \mathmr{and} x \ne \frac{\pi}{2} + \frac{\pi}{2} \mathmr{and} x \ne \pi$ and their multiples.

Domain :$\left\{x | x \ne \pi + \pi \cdot n , n = \ldots - 1 , 0 , 1. .\right\}$ in radians.

Range : Tangent functions have no maximums or minimums, so the

range for a tangent function is all reals. [Ans]