7. 3 the graphs of the tangent, cosecant, secant, and. Objective 1: understanding the graph of the tangent function and its properties. The domain is all real numbers except odd integer multiples of. With equations x (2 n where n is an integer. The x-coordinates of the center points are also the x-intercepts, or zeros, and are of the form n where n is an integer. The halfway point to the left of the x-intercept has a y-coordinate of 1 . The halfway point to the right of the x-intercept has a y-coordinate of 1. The graph of each cycle of x . The graph is symmetric about the origin. x is one-to-one. tan=y tan x asymptotes of the principal cycle occur at the endpoints of the interval of the principal cycle. Objective 2: sketching functions of the form y a tan. Steps for sketching functions of the form y a tan.