Question

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

Answer 1

Explanation:

edge

Answer 2

(See explanation below for further details)

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)`