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

question 2

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 \[x = \frac { 2 \pi } { 3 }\]

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