Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises - Page 710: 18

The vertical asymptote is the line $x=-4$. The horizontal asymptote is the line $y=0$.

Given: $\frac{4}{x+4}$ $x+4=0$ $x=-4$ The vertical asymptote is the line $x=-4$. The horizontal asymptote is the line $y=0$. Make a list of values: $x=-4 \rightarrow y=0$ $x=0 \rightarrow y=1$ $x=4\rightarrow y=\frac{1}{2}$ $x=8 \rightarrow y=\frac{1}{3}$