Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 2 - Review - Exercises - Page 232: 47

Answer

Domain: $[-2.115, 0.254] \cup [1.861, +\infty)$ Range: $[0, +\infty)$

Work Step by Step

(a) Use a graphing calculator to graph the given function. (Refer to the attached image below for the graph) (b) The domain is the set that contains all the x-values of the given function. (Refer to the graph below.) Note that the graph of the given function covers the x-values from approximately $-2.115$ to $0.254$ and from approximately $1.861$ and above. Thus, the domain of the function is $[-2.115, 0.254] \cup [1.861, +\infty)$. The range is the set that contains all the y-values of the given function. Note that the graph of the given function covers the y-values from $0$ and above. Thus, the range is $[0, +\infty)$.
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