## University Calculus: Early Transcendentals (3rd Edition)

The period of $\sin{x}$ is $4\pi$
The given graph shows the function: $y=\sin{\frac{x}{2}}$ As shown in the graph, the period of the graph is: $2\pi$ To evaluate the period of $\sin{x}$, we note that $\sin{x}$ is stretched by 2. Thus, the new period is: $\sin{x}=2\pi\times2=4\pi$