Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

Published by Pearson
ISBN 10: 0-32184-874-8
ISBN 13: 978-0-32184-874-1

Chapter 7 - Functions and Graphs - 7.2 Domain and Range - 7.2 Exercise Set - Page 458: 10

Answer

$(b)$

Work Step by Step

$f(x)=\left\{\begin{array}{ll} {x-5,}&{\text{if }x\lt-6}\\ {2x^{2},}&{\text{if }-6\leq x\lt-1}\\ {|x|,}&{\text{if }-1\leq x\lt 10}\\ {3x+1,}&{\text{if }x\geq 10} \end{array}\right.$ $x=-6\ $ belongs to the interval $\quad -6\leq x\lt-1$ so we calculate its function value with $f(x)=2x^{2}$ ... choice $(b)$
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