Question

Analyze the function f(x) = - tan 4x. Include:
- Domain and range
- Period
- Two Vertical Asymptotes

Answer 1

Period for tangent is defined as pi/|b| where b is the coefficient of x.
b=4 in this case.

Just in case you'd be working with sine and cosine functions, the periods are 2pi/|b| for sine and cosine.


The domain for f(x)=-tangent(4x) is R (real) except at the vertical asymptotes.