Question

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

Answer 1

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.