College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 61

Answer

$\textbf{(a)}\hspace{0.5cm}$See the graph $\textbf{(b)}\hspace{0.5cm}$From the graph: the $x-$intercepts are at $(0,0)$ and $(0,1)$, and the $y-$intercept is at $(0,0)$. $\textbf{(c)}\hspace{0.5cm}$ $x-$intercepts are at $(0,0)$ and $(1,0)$ and $y-$intercept is $(0,0)$

Work Step by Step

$\textbf{(a)}\hspace{0.5cm}$See the graph $\textbf{(b)}\hspace{0.5cm}$From the graph: the $x-$intercepts are at $(0,0)$ and $(0,1)$, and the $y-$intercept is at $(0,0)$. $\textbf{(c)}\hspace{0.5cm}$ at $x-$intercepts $y=0$ i.e. $x^3-x^2=0\Rightarrow x^2(x-1)=0\Rightarrow x^2=0\Rightarrow x=0$ or $x-1=0\Rightarrow x=1$ i.e $x-$intercepts are at $(0,0)$ and $(1,0)$ at $y-$intercepts $x=0$ i.e. $y=0^3-0^2=0$ i.e $y-$intercept is $(0,0)$
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