Calculus 8th Edition

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

Chapter 1 - Functions and Limits - 1.8 Continuity - 1.8 Exercises: 25

Answer

continuous on $(-\infty, \infty)$

Work Step by Step

$F(x)=\displaystyle \frac{2x^{2}-x-1}{x^{2}+1}$ is a rational function. Its domain is $(-\infty, \infty)$ (no x yields zero in the denominator). By theorem 5 (b) Any rational function is continuous wherever it is defined; that is, it is continuous on its domain.
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