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Determine The Asymptotes From A Tangent Function In Equation Form

Find the asymptote of $y=\tan\left(\frac{x}{2}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$

Find the asymptote of $y=4\tan\left(\frac{x}{4}\right)$ .

$x=2\pi+4n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Select the asymptote of $y=3\tan\left(\frac{x}{2}\right)$ .

$x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

$x=\pi$

Find the asymptote of $y=\tan3x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan\left(\frac{x}{4}\right)$ .

$x=2\pi+4n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=2\tan\left(\frac{x}{3}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=9\tan3x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan2x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan\left(\frac{x}{3}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=5\tan2x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$

Questions

Time

Score

Determine The Asymptotes From A Tangent Function In Equation Form

Find the asymptote of ﻿y=tan⁡(x2)y=\tan\left(\frac{x}{2}\right)y=tan(2x​)﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π4+nπ2x=\frac{\pi}{4}+\frac{n\pi}{2}x=4π​+2nπ​﻿

﻿x=π+2nπx=\pi+2n\pix=π+2nπ﻿

Find the asymptote of ﻿y=4tan⁡(x4)y=4\tan\left(\frac{x}{4}\right)y=4tan(4x​)﻿.

﻿x=2π+4nπx=2\pi+4n\pix=2π+4nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=3π2+3nπx=\frac{3\pi}{2}+3n\pix=23π​+3nπ﻿

Select the asymptote of ﻿y=3tan⁡(x2)y=3\tan\left(\frac{x}{2}\right)y=3tan(2x​)﻿.

﻿x=π2x=\frac{\pi}{2}x=2π​﻿

﻿x=π4x=\frac{\pi}{4}x=4π​﻿

﻿x=πx=\pix=π﻿

Find the asymptote of ﻿y=tan⁡3xy=\tan3xy=tan3x﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=π+2nπx=\pi+2n\pix=π+2nπ﻿

Find the asymptote of ﻿y=tan⁡(x4)y=\tan\left(\frac{x}{4}\right)y=tan(4x​)﻿.

﻿x=2π+4nπx=2\pi+4n\pix=2π+4nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=3π2+3nπx=\frac{3\pi}{2}+3n\pix=23π​+3nπ﻿

Find the asymptote of ﻿y=2tan⁡(x3)y=2\tan\left(\frac{x}{3}\right)y=2tan(3x​)﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=3π2+3nπx=\frac{3\pi}{2}+3n\pix=23π​+3nπ﻿

Find the asymptote of ﻿y=9tan⁡3xy=9\tan3xy=9tan3x﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=π+2nπx=\pi+2n\pix=π+2nπ﻿

Find the asymptote of ﻿y=tan⁡2xy=\tan2xy=tan2x﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π4+nπ2x=\frac{\pi}{4}+\frac{n\pi}{2}x=4π​+2nπ​﻿

﻿x=π+2nπx=\pi+2n\pix=π+2nπ﻿

Find the asymptote of ﻿y=tan⁡(x3)y=\tan\left(\frac{x}{3}\right)y=tan(3x​)﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π6+nπ3x=\frac{\pi}{6}+\frac{n\pi}{3}x=6π​+3nπ​﻿

﻿x=3π2+3nπx=\frac{3\pi}{2}+3n\pix=23π​+3nπ﻿

Find the asymptote of ﻿y=5tan⁡2xy=5\tan2xy=5tan2x﻿.

﻿x=π2+nπx=\frac{\pi}{2}+n\pix=2π​+nπ﻿

﻿x=π4+nπ2x=\frac{\pi}{4}+\frac{n\pi}{2}x=4π​+2nπ​﻿

﻿x=π+2nπx=\pi+2n\pix=π+2nπ﻿

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Find the asymptote of $y=\tan\left(\frac{x}{2}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$

Find the asymptote of $y=4\tan\left(\frac{x}{4}\right)$ .

$x=2\pi+4n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Select the asymptote of $y=3\tan\left(\frac{x}{2}\right)$ .

$x=\frac{\pi}{2}$

$x=\frac{\pi}{4}$

$x=\pi$

Find the asymptote of $y=\tan3x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan\left(\frac{x}{4}\right)$ .

$x=2\pi+4n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=2\tan\left(\frac{x}{3}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=9\tan3x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan2x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$

Find the asymptote of $y=\tan\left(\frac{x}{3}\right)$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{6}+\frac{n\pi}{3}$

$x=\frac{3\pi}{2}+3n\pi$

Find the asymptote of $y=5\tan2x$ .

$x=\frac{\pi}{2}+n\pi$

$x=\frac{\pi}{4}+\frac{n\pi}{2}$

$x=\pi+2n\pi$