Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Chapter 1 - Functions and Limits - Review - True-False Quiz - Page 95: 3

Answer

FALSE

Work Step by Step

FALSE for example $x=2$ and the function, $f(x) = x^2$ $f(3\times x)=f(3\times 2)=f(6)=6^2=36$ and $3\times f(x)=3\times f(2)= 3\times 2^2=3\times4=12$ It disproves the statement. $f(3x)\ne 3f(x)$
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