Graph the Function for One Period, and Show (Or Specify) $$y = \cot \left( x + \frac { \pi } { 3 } \right)$$

Multiple Choice

Graph the function for one period, and show (or specify) intercepts and asymptotes. $$y = \cot \left( x + \frac { \pi } { 3 } \right)$$

A) x-intercept: none; y-intercept:
$$\frac { 2 \sqrt { 3 } } { 3 }$$ ; asymptotes: $x = - \frac { \pi } { 3 }$ and $$x = \frac { 2 \pi } { 3 }$$

B) x-intercept: none; y-intercept:
$$- \frac { 2 \sqrt { 3 } } { 3 }$$ ; asymptotes: $$x = - \frac { \pi } { 3 }$$ and $$x = \frac { 2 \pi } { 3 }$$
C) x-intercept: $$\frac { \pi } { 6 }$$ ; y-intercept: $$\frac { \sqrt { 3 } } { 3 }$$ ; asymptotes: $$x = - \frac { \pi } { 3 }$$ and $$x = \frac { 2 \pi } { 3 }$$
D) x-intercept: $$\frac { \pi } { 6 }$$ ; y-intercept: $$\frac { \sqrt { 3 } } { 3 }$$ ; asymptotes: $$x = - \frac { \pi } { 3 }$$ and $$x = \frac { 2 \pi } { 3 }$$
E) x-intercept: $$\frac { \pi } { 6 }$$ ; y-intercept: $$- \frac { \sqrt { 3 } } { 3 }$$ ; asymptotes: $$x = - \frac { \pi } { 3 }$$ and $$x = \frac { 2 \pi } { 3 }$$