Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises - Page 712: 48

The vertical asymptotes are the lines $x=2$ or $x=0$ The horizontal asymptote is the line $y=0$

Given $g(x)=\frac{1}{x^2-2x}$ $x^2-2x=0 $ $x=2$ or $x=0$ The vertical asymptotes are the lines $x=2$ or $x=0$. The horizontal asymptote is the line $y=0$. Make a list of values: $x=−2→ y=\frac{1}{8}$ $x=−1→ y=\frac{1}{3}$ $x=0→ y=0$ $x=1→ y=\frac{1}{3}$ $x=2→ y=\frac{1}{8}$