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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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I presume it means where the graph crosses the $x$-axis? –  copper.hat Apr 12 '12 at 21:02
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Hint: Do you know where $\sin(x) = 0$, and why this might be of use? –  Dave L. Renfro Apr 12 '12 at 21:04
    
I know that $x$ would equal $\pi \space n$ but I don't see how it would be of use. –  David Apr 12 '12 at 21:08
    
What do you get when you multiply both sides of your equation, $3\tan (x) = 0$, by $\cos (x)$? –  Dave L. Renfro Apr 12 '12 at 21:37

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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.

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