Elementary Linear Algebra 7th Edition

Published by Cengage Learning
ISBN 10: 1-13311-087-8
ISBN 13: 978-1-13311-087-3

Appendix - Mathematical Induction and Other Forms of Proofs - Exercises - Page A6: 26

Answer

$f(x)=x^2,a=-1,b=1$

Work Step by Step

A counterexample is $f(x)=x^2,a=-1,b=1$, where $f(1)=1^2=1=f(-1)=(-1)^2=1$ but $-1\ne1$.
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