Chapter 11 - Rational Expressions and Functions - 11-7 Graphing Rational Functions - Practice and Problem-Solving Exercises - Page 710: 21

The vertical asymptote is the line $x=-1$. The horizontal asymptote is the line $y=4$.

Given: $\frac{2}{x+1}+4$ $x+1=0$ $x=-1$ The vertical asymptote is the line $x=-1$. The horizontal asymptote is the line $y=4$. Make a list of values: $x=-1 \rightarrow y=4$ $x=0 \rightarrow y=6$ $x=1\rightarrow y=5$ $x=3\rightarrow y=\frac{9}{2}$