## College Algebra 7th Edition

Published by Brooks Cole

# Chapter 1, Equations and Graphs - Section 1.2 - Graphs of Equations in Two Variables; Circles - 1.2 Exercises - Page 102: 62

#### Answer

$\textbf{(a)}\hspace{0.7cm}$See the graph $\textbf{(b)}\hspace{0.7cm}$From the graph: the $x−$intercepts are at $(0,0)$ and $(2,0)$, and the y−intercept is at $(0,0)$. $\textbf{(c)}\hspace{0.7cm} x−$intercepts are at $(0,0)$ and $(2,0)$ and $y−$intercept is $(0,0)$.

#### Work Step by Step

$\textbf{(a)}\hspace{0.7cm}$See the graph $\textbf{(b)}\hspace{0.7cm}$From the graph: the $x−$intercepts are at $(0,0)$ and $(2,0)$, and the $y−$intercept is at $(0,0)$. $\textbf{(c)}\hspace{0.7cm}$ at $x−$intercepts $y=0$ i.e. $x^4−2x^3=0⇒x^3(x−2)=0⇒x^3=0⇒x=0 or x−2=0⇒x=2$ i.e $x−$intercepts are at $(0,0)$ and $(2,0)$ at $y−$intercepts $x=0$ i.e. $y=0^4−2(0)^3=0$ i.e$y−$intercept is $(0,0)$

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.