Answer
Refer to the graph below.
Work Step by Step
RECALL:
The function $y=a\cdot \sin{x}$ has:
period = $2\pi$
amplitude = $|a|$
The given function has $a=3$ the function has:
period = $2\pi$
amplitude = $|3|=3$
Thus, one period of the given function is in the interval $[0, 2\pi]$.
Divide this interval onto four equal parts to get the key x-values $0, \frac{\pi}{2}, \pi, \frac{3\pi}{2}, 2\pi$.
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) Plot each point from the table then connect them using a sinusoidal curve. (Refer to the graph in the answer part above.)
