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: 35

Answer

part a: No; (0,-2) part b: Yes part c: No; -4.5 part d: Yes part e: Yes

Work Step by Step

part a: The vertical intercept is the y-intercept. The line crosses the y-axis at -2, but in coordinate form (x,y), it is (0,-2). The student incorrectly put (-2,0). part b: The horizontal intercept is the x-intercept. The line crosses the x-axis at -3. The student correctly put this in coordinate form as (-3,0). part c: The input is the x-value. The output is the y-value. The question basically asks at y=1, what does x equal? Looking at the graph, the graph reaches -4.5 on the x-axis when y=1. The student switched the meaning of input and output. part d: The input is the x-value. The output is the y-value. The question basically asks at y=-1, what does x equal? Looking at the graph, the graph reaches -1.5 on the x-axis when y=-1. part e: The input is the x-value. The output is the y-value. The question basically asks at x=3, what does y equal? Looking at the graph, the graph reaches -4 on the y-axis when x=3.
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