# How do you graph y=(2x+2)/(3x+1) using asymptotes, intercepts, end behavior?

The intercept (on one side only) is at $x = - 1$. The asymptote is at $x = - \left(\frac{1}{3}\right)$. The limit on each side at x → oo is 0.6667 (the expression becomes $\frac{2 x}{3 x}$ or $\frac{2}{3}$).