How do you graph #y=(2x+2)/(3x+1)# using asymptotes, intercepts, end behavior?
Calculate those critical points, and then the shape and location of the curve will be easier to see.
The intercept (on one side only) is at
The plot is symmetrical around both asymptotes (x = -1/3 and y = 0.666666666)
Ignore the interconnecting line in the plot. It is where the asymptote would go.