Calculus (3rd Edition)

Published by W. H. Freeman
ISBN 10: 1464125260
ISBN 13: 978-1-46412-526-3

Chapter 1 - Precalculus Review - 1.1 Real Numbers, Functions, and Graphs - Exercises - Page 10: 31

Answer

max| a + b | = 11 min| a + b | = 1

Work Step by Step

|a-6| $\leq$ 2 a-6 $\leq$ 2 , a-6 $\geq$ -2 a $\leq$ 8 , a $\geq$ 4 4 $\leq$ a $\leq$ 8 |b| $\leq$ 3 b $\leq$ 3 , b $\geq$ -3 -3 $\leq$ b $\leq$ 3 max| a + b | = max(a) + max(b) = 8 + 3 = 11 min| a + b | = min(a) + min(b) = 4 + (-3) = 1
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