Question

Y=tan(x/8) Find the period, x intercepts, and vertical asymptotes

Answer 1

Given:

`y=\tan((x)/(8))`

Find-: Period, x-intercepts, and vertical asymptotes.

Sol:

Graph of function is:

The period of the function is:

`\text{ Period}=8\pi`

The x-intercept of function is:

For the x-intercept value of "y" is zero so,

`\begin{gathered} y=\tan((x)/(8)) \\ \\ \tan((x)/(8))=0 \\ \\ (x)/(8)=\tan^(-1)(0) \\ \\ x=8\tan^(-1)(0) \\ \\ x=-8\pi,0,8\pi,16\pi...... \end{gathered}`

Vertical asymptotes are:

For the function can't find vertical asymptotes.