Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 13 - A Preview of Calculus: The Limit, Derivative, and Integral of a Function - Section 13.3 One-sided Limits; Continuous Functions - 13.3 Assess Your Understanding - Page 909: 12

Answer

True.

Work Step by Step

It is true that polynomial functions are continuous for all real numbers. For instance, a 2nd degree polynomial function has the form $ax^2+bx+c$. We can see that it has no holes, jumps or asymptotes (there is no division by zero, etc). Thus, the function is continuous for all real numbers.
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