Given the function y tan x +3, determine the interval for the principal cycle. D
ID: 2905745 • Letter: G
Question
Given the function y tan x +3, determine the interval for the principal cycle. Determine the period. 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. The interval of the principal cycle is (Type your answer in interval notation. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. The period of y tan x is (Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. The equation of the left vertical asymptote of the principal cycle is and the equation of the right vertical asymptote is I (Simplify your answers. Type exact answers, using R as needed. Use integers or fractions for any numbers in the expressions. The coordinates of the center point of the principal cycle are (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.) The coordinates of the left-most halfway point of the principal cycle are (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression. The coordinates of the right-most halfway point of the principal cycle are (Type an ordered pair. Simplify your answer. Type an exact answer, using as needed. Use integers or fractions for any numbers in the expression.)Explanation / Answer
tan ( x + pi/4 )
interval of principal cycle is 0 < x < pi
period of tan function is pi/b
so period of this function is pi
vertical asymptotes at 5pi/4 , 9pi/4
left vertial asymptote = x = 5pi/4
right vertical asymptote = x = 9pi/4
The xcoordinate of the center point is x intercept.
The ycoordinate of the center point is D
Related Questions
Hire Me For All Your Tutoring Needs
Integrity-first tutoring: clear explanations, guidance, and feedback.
Drop an Email at
drjack9650@gmail.com
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.