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

1 Answer
Jul 23, 2017

Answer:

Domain : #{ x| x != pi + pi*n , n = ... -1,0,1.. }# 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-pi/2 != pi/2 or x != pi/2 +pi/2 or x != pi# and their multiples.

Domain :#{ x| x != pi + pi*n , n = ... -1,0,1.. }# in radians.

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

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