Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 7 - Rational Functions - 7.1 Rational Functions and Variation - 7.1 Exercises - Page 566: 52

Answer

a) Domain: All real numbers, except $x= -2$ and $x=5$ b) $f(0) = 3.5$. c) $f(x)=6$ when $x= -1.5$ and when $x= 4$.

Work Step by Step

a) The function in the plot is undefined for $x=-2$ and $x= 5$. Hence, the domain is: \begin{equation} \begin{aligned} \textbf{Domain:}\text{ All real numbers, exccpt}&\\ x= -2\quad \text{and}\quad x= 5 \end{aligned} \end{equation} b) We see that $f(0) = 3.5$. c) The graph shows that $f(x)=6$ when $x= -1.5$ and when $x= 4$.
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