Answer
Refer to the graph below.
Work Step by Step
RECALL:
(1) The function $y=-\tan{x}$ has a period of $\pi$ and is a reflection about the x-axis of the function$y=\tan{x}$.
(2) Consecutive asymptotes of the tangent function are $x=-\frac{\pi}{2}$ and $x=\frac{\pi}{2}$
One period of the given function is in the interval $[-\frac{\pi}{2}, \frac{\pi}{2}]$.
Divide this interval onto four equal parts to get the key x-values $ -\frac{\pi}{4}, 0, \frac{\pi}{4}$.
To graph the given function, perform the following steps:
(1) Create a table of values using the key x-values listed above. (Refer to the table below.)
(2) Graph the consecutive vertical asymptotes mentioned above.
(3) Plot the points from the table of values and connect them using a sinusoidal curve. (Refer to the graph in the answer part above.)