Graphing a tangent function with an amplitude

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Because of the all real values for the range of a tangent graph, the amplitude seems to have no effect on the maximum or minimum of the graph, but to change its steepness. i just want to seek reassurance whether this is true or not?

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1 Answer

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If you add a coefficient in front of $\tan{x}$, you do not alter the asymptotes. So yes, all it will do is change the steepness. One way you could measure/observe this is the slope at $x=2πn$. But since it isn't a wave, I don't think amplitude is the right word.

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