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AssignmentMultiple Choice

Graphing Sine and Cosine Functions

Question 1 • Pre Calculus A

Which domain window settings would be appropriate if you wanted to graph the function below in degrees for exactly 3 periods?y = 4sin(3x)

Answer
A
Xmin = –90 Xmax = 270
B
Xmin = –π Xmax = π
C
Xmin = 0 Xmax = 120
D
Xmin = 0 Xmax = 3π

Explanation

For y = 4sin(3x), the coefficient 3 makes the period 360° ÷ 3 = 120°. Exactly 3 periods require a domain length of 3 × 120° = 360°. Choice A, from −90° to 270°, spans 360° and is in degrees. The other choices either span a different length or use radians.

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