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# State domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of 3y=-2\tan \left ( 3x+180^{\circ} \right )+3 .

State domain, range, period, vertical asymptotes, zeros, symmetry and y-intercept of .

I usually have trouble identifying domain, vertical asymptotes, zeros, and symmetry for tangent functions.

My attempt:

__Domain__

Same as asymptotes:

__Range__

__Period__

__Vertical asymptotes__

Using the quotient identity: and setting the denominator to zero:

Add to find more asymptotes:

Asymptotes

__Zeros__

Add to find more zeros:

Zeros =

__Symmetry__

?

__Y-intercept____: (0, 3)__

Please verify and show all work.

Some explanation for finding domain, vertical asymptotes, zeros, and symmetry for tangent functions (using degrees not radians) would be great.