Big Ideas Math - Algebra 1, A Common Core Curriculum

Published by Big Ideas Learning LLC
ISBN 10: 978-1-60840-838-2
ISBN 13: 978-1-60840-838-2

Chapter 2 - Solving Linear Inequalities - 2.6 - Solving Absolute Value Inequalities - Exercises - Page 92: 46

Answer

The complete table shown below.

Work Step by Step

Let $f(x)=-2x-3$. Substitute $x=-2$. $\Rightarrow f(-2)=-2(-2)-3$ $\Rightarrow f(-2)=4-3$ $\Rightarrow f(-2)=1$ Substitute $x=-1$. $\Rightarrow f(-1)=-2(-1)-3$ $\Rightarrow f(-1)=2-3$ $\Rightarrow f(-1)=-1$ Substitute $x=0$. $\Rightarrow f(0)=-2(0)-3$ $\Rightarrow f(0)=0-3$ $\Rightarrow f(0)=-3$ Substitute $x=1$. $\Rightarrow f(1)=-2(1)-3$ $\Rightarrow f(1)=-2-3$ $\Rightarrow f(1)=-5$ Substitute $x=2$. $\Rightarrow f(2)=-2(2)-3$ $\Rightarrow f(2)=-4-3$ $\Rightarrow f(2)=-7$.
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