Answer:
The domain window setting that would be appropriate to graph the function is;
= -90°,
= 270°
Step-by-step explanation:
The given equation is y = 4·sin(3·x)
We note that one period of the sine function = 2·π = 360°
Therefore, if we wanted to graph the above function for exactly three periods, then we should have;
The domain of the function will be from 0 to 3 × 360
Minimum value of 3·x = 0,
Maximum value of 3·x= 3 × 360°
Therefore;
Minimum value of x = 0°/3 = 0° and maximum value of x = 3 × 360°/3 = 360°
Which gives the extent of the domain as 360°
The appropriate domain window setting to graph the function therefore,
= -90°,
= 270° as the extent is 270 - (-90) = 360°