$\"\"$

The function is $\"\"$ .

The graph of $\"\"$ is the graph of $\"\"$ is stretched vertically by a factor of $\"\"$ .

The period of the function is $\"\"$ .

Find vertical asymptotes.

Cotangent asymptotes equations: $\"\"$ , $\"\"$ and $\"\"$ .

Hence the vertical asymptotes are $\"\"$ , $\"\"$ and $\"\"$ .

Hence one period of the function is $\"\"$ .

Table :

Construct a table for different values of $\"\"$ in the interval $\"\"$ .

\ \

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

$\"\"$

Graph:

1. Draw a coordinate plane.

2. Plot the points and sketch the asymptotes.

3.Connect the points with a smooth curve.

4.Repeat the same pattern for the next cycles.

$\"\"$

Observe the graph:

The domain of the function is all values of $\"\"$ except at odd multiples of $\"\"$ .

The domain of the function is $\"\"$ .

The range of the function is $\"\"$ .

$\"\"$

Graph of the function $\"\"$ is

$\"\"$

The domain of the function is $\"\"$ .

The range of the function is $\"\"$ .