question 3 of 10 what is the period of the function y = 2sin x? a. all real numbers b. π c. -1,1 d. 2π

Explanation:

Step1: Recall sine - function period formula

For the function $y = A\sin(Bx + C)+D$, the period $T=\frac{2\pi}{|B|}$.

Step2: Identify the value of B

In the function $y = 2\sin x$, $A = 2$, $B = 1$, $C=0$, $D = 0$.

Step3: Calculate the period

Substitute $B = 1$ into the period formula $T=\frac{2\pi}{|B|}$, we get $T=\frac{2\pi}{|1|}=2\pi$.

Answer:

D. $2\pi$