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Which functions graph has asymptotes located at the values x=t

Which functions graph has asymptotes located at the values x=t-example-1
Which functions graph has asymptotes located at the values x=t-example-1
Which functions graph has asymptotes located at the values x=t-example-2
User Vfedorkov
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1 Answer

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The function is to have asymptotes at the line:


x=\pm n\pi

The graph will have an asymptote when the denominator is 0.

By this definition, the graph of cos x has no asymptotes.

We know that:


\sin\pi=0

Therefore, the functions where sin x is at the denominator will have asymptotes at x = π.

The remaining functions can be written as follows:


\begin{gathered} \csc x=(1)/(\sin x) \\ \tan x=(\sin x)/(\cos x) \\ \cot x=(\cos x)/(\sin x) \end{gathered}

Therefore, the functions with the asymptote at x = π are csc x and cot x.

OPTION B is the correct answer.

User Mr Singh
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