College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 245: 37

Answer

(a) $(-\infty,0)\cap[0,\infty)$ (b) The x-intercepts are (-1,0) and (0,0). The y-intercept is (0,0) (c) See below (d) $(-\infty,\infty)$ (e) No, the function is not continuous on its domain.

Work Step by Step

Recap: The domain is a horizontal span from the function's smallest value of x to the function's largest value of x. The x-intercepts are all points of a function where f(x)=0 while the y-intercepts are all points of a function where x=0. The range is a vertical span from the function's smallest value of f(x) to the function's largest value of f(x). A function is continuous if there are no parts that are cut out.
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