Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 1 - Section 1.11 - Solving Equations and Inequalities Graphically - 1.11 Exercises - Page 121: 3

Answer

(a). $-1$, $0$, $1$, $3$ (b). $[-1, 0]$ U $[1, 3]$

Work Step by Step

(a). The solutions of the given equation are the values of $x$ for which $y$ is equal to zero. Therefore, the solutions are the $x$-intercepts of the graph. $x$-intercepts of the graph are $-1$, $0$, $1$ and $3$ Therefore $-1$, $0$, $1$, $3$ are the required solutions. (b). The solutions of the given inequality are the values of $x$ for which $y$ is less than or equal to $0$. Therefore, the solutions are the values of $x$ for which the graph lie $below$ the $x-axis$ or at $x-axis$. The given graph lies below $x-axis$ between $x=-1$ and $x=0 $ and between $x=1$ and $x=3 $ and for $x=-1,0,1,3$ , $y=0 $. Therefore required solutions will be- $[-1, 0]$ U $[1, 3]$
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