Domain is the group of x-values that make the function defined. The tangent curve is undefined at 4x = pi/2. This translates to a domain of x =/= pi/8, 3pi/8, 5pi/8, 7pi/8, etc.
The range would be from negative infinity to positive infinity.
Since the frequency of this function is 4, the period would be pi/4 because one complete tangent curve would be completed every pi/4 radians.
There would be a vertical asymptote at x = pi/8 & x = 3pi/8 since the function would be undefined at those points.