What are the one-sided limits of g(x) around the vertical asymptote x = -1?
lim g(x) = o and
lim g(x) = oC
X-1
lim g(x) = oo and lim g(x) = - 0
*+-1-
*-1*
lim g(x) = - oo and lim g(x) =
*--1-
X --1-
lim g(x) = - and lim g(x) = – 0
X-1
X = -1

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.