Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 1 - Linear Functions - 1.2 Using Data to Create Scatterplots - 1.2 Exercises - Page 34: 39

Answer

a) $(0,1)$ b) $(-2,0)$ c) $x=1$ d) $x=-4$ e) $y=2.5$

Work Step by Step

a) The vertical intercept is the $y$-intercept, which is the value of $y$ corresponding to $x=0$: 1. As a point it can be written as $(0,1)$ b) The horizontal intercept is the $x$-intercept, which is the value of $x$ corresponding to $y=0$: -2. As a point it can be written as $(-2,0)$ c) The value of $x$ that results in $y=1.5$ is 1 because the point $(1,1.5)$ belongs to the graph. $x=1$ d) The value of $x$ that results in $y=-1$ is -4 because the point $(-4,-1)$ belongs to the graph. $x=-4$ e) The value of $y$ when $x=3$ is 2.5 because the point $(3,2.5)$ belongs to the graph. $y=2.5$
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