Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX A - Numbers, Inequalities, and Absolute Values - A Exercises - Page A9: 11


$x^{2}+1$ for all real numbers $x$.

Work Step by Step

Start with given expression: $|x^{2}+1|$. Since $x^{2}+1$ must be positive for all $x$, the absolute value is the same as what is inside the absolute value for all $x$: $|x^{2}+1|=x^{2}+1 $ for all $x$.
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