Answer
See graph and explanations.
Work Step by Step
Step 1. Given the function $y=2tan\frac{x}{2}$, we can identify its period as $\frac{\pi}{1/2}=2\pi$
Step 2. To graph the function, start from $y=tan(x)$ (blue curve), stretch horizontally by a factor of 2 and then stretch vertically by a factor of 2 to get the red curve of $y=2tan\frac{x}{2}$.
