to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of…

to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, the vertical asymptotes for y = csc(x/11) are at (type an exact answer, using π as needed.) multiples even multiples odd multiples sic function horizontally by a factor of 11 sic function vertically by a factor of sic function vertically by a factor of pasic function to the right by units.

to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, to obtain the graph of the given function, the vertical asymptotes for y = csc(x/11) are at (type an exact answer, using π as needed.) multiples even multiples odd multiples sic function horizontally by a factor of 11 sic function vertically by a factor of sic function vertically by a factor of pasic function to the right by units.

Answer

Explanation:

Step1: Recall csc function property

The vertical - asymptotes of $y = \csc(u)$ occur where $\sin(u)=0$. For $y=\csc\left(\frac{x}{11}\right)$, we set $\sin\left(\frac{x}{11}\right) = 0$.

Step2: Solve for x

We know that $\sin(t)=0$ when $t = n\pi$, where $n\in\mathbb{Z}$. So, if $\frac{x}{11}=n\pi$, then $x = 11n\pi$. The vertical asymptotes occur at integer multiples of $11\pi$.

Answer:

integer multiples; $11\pi$