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: 2

Answer

The graph of f has no removable, infinite, or jump discontinuities. This means the graph has no holes nor vertical asymptotes and can be traced without ever lifting your pencil.

Work Step by Step

If f is continuous on ($-\infty$,$\infty$), that means it is continuous on everything except $-\infty$ and $\infty$. $-\infty$ and $\infty$ aren't real numbers. Therefore, f is continuous at all real numbers and as such, there are no discontinuities in the graph of f.
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