Transcript Over all real numbers x, what is the maximum value of 4 sin 3x ? F.

Over all real numbers x, what is the maximum value of 4 sin 3x ?
F. 1
G.
2
3
H.
3
J.
4
K. 12
The correct answer is J.
Explanation:
The maximum value for sin X, where X is any function of x, is 1 so sin
3x < 1 for all x. Then multiplying by 4, 4 sin 3x < 4, so the maximum
value of 4 sin 3x is 4.