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 1 - Functions and Their Graphs - Section 1.4 Library of Functions; Piecewise-defined Functions - 1.4 Assess Your Understanding - Page 86: 32

Answer

(a) $\{x|x=all\ real\ numbers\}$. (b) $(-3,0),(-\frac{3}{2},0)$, $(0,-3)$. (c) See graph. (d) $\{y|y\le1\}$ (e) continuous

Work Step by Step

(a) Based on the given piece-wise function, we can find the domain as $\{x|x=all\ real\ numbers\}$. (b) We can locate the x-intercept(s) (let y=0) as $(-3,0),(-\frac{3}{2},0)$, y-intercept(s) (let x=0) as $(0,-3)$. (c) See graph. (d) Based on the graph, we can find the range as $\{y|y\le1\}$ (e) We can see that $f$ is continuous on its domain.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.