select the correct answer. consider function f and its graph. f(x) = 1/2 sin(2x) what is the amplitude of…

select the correct answer. consider function f and its graph. f(x) = 1/2 sin(2x) what is the amplitude of this function? a. π/4 b. π/2 c. 1/2 d. 1
Answer
Explanation:
Step1: Recall amplitude formula
For a sinusoidal function of the form $y = A\sin(Bx - C)+D$, the amplitude is given by $|A|$.
Step2: Identify A in given function
The function is $f(x)=\frac{1}{2}\sin(2x)$, where $A = \frac{1}{2}$.
Answer:
C. $\frac{1}{2}$