Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 1 - Section 1.9 - The Coordinate Plane; Graphs of Equations; Circles - 1.9 Exercises - Page 104: 79

Answer

$(a)$ See the image below. $(b)$ $x$-intercepts - $A(0,0)$, $B(1,0)$ $y$-intercepts - $A(0,0)$ $(c)$ Solving equation gives us points: $x$-intercepts: $x=0$ ; $y=0$ $x=1$ ; $y=0$ $y$-intercepts $x=0$ ; $y=0$

Work Step by Step

$(a)$ We simply input the equation and get the graph. See the image above. $(b)$ As we clearly see from the graph, we have following interceptions: $x$-intercepts - $A(0,0)$, $B(1,0)$ $y$-intercepts - $A(0,0)$ $(c)$ $y=x^3-x^2$ For $x$-intercept, we need to find $x$ values where $y=0$ Simplify : $y=x^2(x-1)$ $x^2(x-1)=0$ $x_1=0$ $x_2=1$ For $y$-intercept, we need to find $y$ values where $x=0$ $y=0^3-0^2=0$
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