Question

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

Answer 1

Answer:

(See explanation below for further details)

Step-by-step explanation:

The domain of the function is:

$x \in \mathbb{R} - \{ \pm \pi \cdot i \}$ for $i \in \mathbb{N}_{O}$

The range of the function is:

$f(x) \in \{-\infty, +\infty \}$

There are no absolute extrema and such function is not bounded.

Function is symmetric, whose period is π.

Lastly, the set of asymptotes is:

$x = \pm \pi \cdot i$, for $i \in \mathbb{N}_{O}$