Question

Which domain window settings would be appropriate if you wanted to graph the function below in degrees for exactly

Answer 1

Answer:

the answer is A. Xmin = –90  Xmax = 270

Step-by-step explanation:

Answer 2

Answer:

The domain window setting that would be appropriate to graph the function is;

$x_{min}$ = -90°, $x_{max}$ = 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, $x_{min}$ = -90°, $x_{max}$ = 270° as the extent is 270 - (-90) = 360°