Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.6 - Rational Functions and Their Graphs - Exercise Set - Page 400: 95


See the graph below:

Work Step by Step

Convert the function into the form: $\text{Quotient}+\frac{\text{Remainder}}{\text{Divisor}}$. $\begin{align} & g\left( x \right)=\frac{2x+7}{x+3} \\ & =2+\frac{1}{x+3} \end{align}$ Where the quotient is $2$ , the remainder is $1,$ and the divisor is $x+3$. The rational root is $\begin{align} & x+3=0 \\ & x=-3 \end{align}$ The graph has a vertical asymptote along $x=-3$. The graph has a horizontal asymptote along $y=2$.
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