Analyze the function f(x) = - tan 4x. include: . - domain and range. - period. - two vertical asymptotes.

Domain :

Range : All real numbers or (-∞,∞)

Period:

Vertical asymptote = and

Step-by-step explanation:

Given: Function : -tan 4x

Domain of the tangent function is defined as the multiple of

Since the frequency is given as 4

therefore, domain of the function is  

Domain :

Range : All real numbers or (-∞,∞)

Period of tangent function is given by y=a tan(bx) where period =

Period:

Vertical asymptote is at and since the function would be undefined at those points.

or Vertical asymptote :   where n is an integer

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step-by-step explanation: