Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 2 - Section 2.2 - Graphs of Functions - Exercise Set - Page 123: 42

Answer

$ a.\quad (-\infty,6)$ $ b.\quad (-\infty,1)$ $c.\quad -1$ $d.\quad-6$ and $6.$

Work Step by Step

$ a.\quad$ The arrow to the left means that the graph extends to $-\infty$. The solid dot at $(6,-3)$ means that $f(x)$ is not defined beyond x=5. Domain = $(-\infty,6)$ $ b.\quad$ The arrow on the left side of thegraph indicates that function values plummet towards $-\infty.$ The function values do not go beyond $y=1.$ Range = $(-\infty,1)$ $c.\quad $ The point $(-4,-1)$ is on the graph. So, $f(-4)=-1$ $d.\quad 2$ Points $(-6,-3)$ and $(6,-3)$ are on the graph. So, such values for x are $-6$ and $6.$
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