Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises - Page 712: 45

The vertical asymptote is the line $x=1$. The horizontal asymptote is the line $y=1$.

Given $g(x)=\frac{x}{x-1}$ $x-1=0 $ $x=1$ The vertical asymptote is the line $x=1$. The horizontal asymptote is the line $y=1$. Make a list of values: $x=−2→ y=\frac{2}{3}$ $x=−1→ y=\frac{1}{2}$ $x=0→ y=0$ $x=1→ y=0$ $x=2→ y=1$