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 124: 45


$a.\quad\mathbb{R}$ $ b.\quad [4,\infty)$ $c.\quad 4$ $d.\quad 2$ and $6$ $e.\quad(1,0)$ and $(7,0)$ $f.\quad(0,4)$ $g.\quad(1,7)$ $ h.\quad$positive

Work Step by Step

$ a.\quad$ Arrows indicate that the graph extend to both far sides , so the domain is $\mathbb{R}$ $ b.\quad$ The smallest function value is $-4$, there is no greatest value. Range = $[4,\infty)$ $ c.\quad$ The point $(-3,4)$ is on the graph, so $f(-3)=4$ $ d.\quad$ Points $(2, -2)$ and $(6,-2)$ are on the graph. Answer: $x=2, x=6$ $ e.\quad$ The intersections with the x-axis are $(1,0)$ and $(7,0)$ $ f.\quad$The point on tha graph that is on the y-axis is $(0,4)$ $ g.\quad$ The graph is below the x-axis for x having values between $1$ and $7$. Since the inequality is strict, endpoints are excluded. $x\in(1,7)$ $ h.\quad$ The point $(-8,4)$ is on the graph, so $f(-8)=4$, which is positive.
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