Given the following function. determine the interval for the principal cycle. Then for the principal cycle. determine the equations of the vertical asymptotes. the coordinates of the center point and the coordinates of the halfway points. Sketch the graph N y tan x+3 The interval ofthe principal cycle is . (Type your answer in interval notation. Simplify your answer. Type an exact answer. using n as needed. Use integers or ractions for any numbers in the expression.) The equation ofthe left vertical asymp ote of the principle cycle is and the equation of the right vertical asymptote is . (Type equations. Simplify your answers Type an exact answer. using I as needed. Use integers or fractions for any numbers in the equations) The coordinates of the center point ofthe principal cycle are (Type an ordered pair. Simplify your answer. Type an exact answer. using 11 as needed. Use integers or fractions for any numbers in the expression.) The coordinates of the two halfway points of the principal cycle are . (Type an ordered pair. Use a comma to separate answers as needed. Simplify your answer. Type an exact answer. using I: as needed. Use integers or fractions for any numbers in the expression.)