Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 2 - Functions - Strengthen Your Understanding - Page 114: 25

Answer

True.

Work Step by Step

True. If $x<0$, then $f(x)=x<0$, so $f(x) \neq 4$. If $x>4$, then $f(x)=-x<0$, so $f(x) \neq 4$. If $0 \leq x \leq 4$, then $f(x)=x^2=4$ only for $x=2$. The only solution for the equation $f(x)=4$ is $x=2$.
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