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 459: 59

Answer

$a.\quad 100$ $b.\quad 100$ $c.\quad 131$

Work Step by Step

$ a.\quad$ $x=-10$ belongs to the interval $-10\leq x\leq 10$, so we calculate its function value with $f(x)=x^{2}$ $f(-10)=(-10)^{2}=100$ $ b.\quad$ $x=10$ belongs to the interval $-10\leq x\leq 10$, so we calculate its function value with $f(x)=x^{2}$ $f(10)=(10)^{2}=100$ $ c.\quad$ $x=11$ belongs to the interval $x\gt 10$, so we calculate its function value with $ f(x)=x^{2}+10$ $f(11)=(11)^{2}+10=121+10=131$
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