College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter P - Prerequisites: Fundamental Concepts of Algebra - Exercise Set P.6 - Page 88: 112

Answer

Using the format $(x, y)$: $(-4, -2)$ $(-3, -1)$ $(-2, 0)$ $(-1, 1)$ $(0, 0)$ $(1, -1)$ $(2, -2)$

Work Step by Step

Integers starting with $-4$ and ending with $2$ include the following values: $-4, -3, -2, -1, 0, 1, 2$. Using the equation provided ($y = 1 - |x + 1|$), we can find each value of $y$: $y = 1 - |(-4) + 1| = 1 - |-3| = 1 - 3 = -2$ $y = 1 - |(-3) + 1| = 1 - |-2| = 1 - 2 = -1$ $y = 1 - |(-2) + 1| = 1 - |-1| = 1 - 1 = 0$ $y = 1 - |(-1) + 1| = 1 - |0| = 1 - 0 = 1$ $y = 1 - |(0) + 1| = 1 - |1| = 1 - 1 = 0$ $y = 1 - |(1) + 1| = 1 - |2| = 1 - 2 = -1$ $y = 1 - |(2) + 1| = 1 - |3| = 1 - 3 = -2$
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