It says, using $f(x) = 3\tan(x)$ as a guide, find those things. I know what asymptoes are but not x-intercepts. I don't know how to find and say what they are.
Solve $f(x) = 0$, which in this case is the same as finding all $x$ that satisfy $\tan(x) = 0$. Your graph, and periodicity of $x\mapsto \tan(x)$ will give you the answer.