Analyze the function for domain, range, continuity, symmetry, boundedness, extrema, asymptotes, and end behavior.f(x) = - 2 cot x

Question

What will be an ideal response?

Answer 1

Domain: All reals except integer multiples of ?
Range: (-?, ?)
Continuous on its domain
Symmetric with respect to the origin
Not bounded above or below
No local extrema
No horizontal asymptotes
Vertical asymptotes: x = k? for all integers k
End behavior: (-2 cot x) and (-2 cot x) do not exist