Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 2 - Graphs and Functions - 2.1 Rectangular Coordinates and Graphs - 2.1 Exercises - Page 194: 58

Answer

$\bf \color {blue}{(0,0),(-1,1),(1,-1),(-2,8),(2,-8)}$

Work Step by Step

$$\bf{y=-x^3}$$ $\bf \text{Let's use positive and negative perfect cubes for y}$ if $y=0$: $0=-x^3$ $0=x$ $\bf \color {blue}{(0,0)}$ if $y=\pm1$: $1=-x^3$ or $-1=-x^3$ $-1=x^3$ or $1=x^3$ $-1=x$ or $1=x$ $\bf \color {blue}{(-1,1),(1,-1)}$ if $y=\pm8$: $8=-x^3$ or $-8=-x^3$ $-8=x^3$ or $8=x^3$ $-2=x$ or $2=x$ $\bf \color {blue}{(-2,8),(2,-8)}$ So some of the points are: $\bf \color {blue}{(0,0),(-1,1),(1,-1),(-2,8),(2,-8)}$ Which we can graph as:
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