Answer:
Refer the attached figure.
Vertical asymptote \(x=4+4n\)
Step-by-step explanation:
Given : Function \(y=\cot (\frac{\pi}{4}x)\)
To find : Sketch the given function and find the vertical asymptotes of the function ?
Solution :
Function \(y=\cot (\frac{\pi}{4}x)\)
Sketch the function on the graph.
Refer the attached figure.
Now, Vertical asymptote is defined as
On a graph, a line which is approached by a curve but never reached.
i.e. on different values of x y tends to infinity.
When we see the graph the vertical asymptote of the function is given by
\(x=4+4n\) for n=0,1,2,3...
