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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.

3 tan x

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    What do you get when you multiply both sides of your equation, $3\tan (x) = 0$, by $\cos (x)$?2012-04-12

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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.