Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 2 - Section 2.3 - Polynomial Functions and Their Graphs - Exercise Set - Page 352: 103


The required solution makes sense.

Work Step by Step

In the given function, to find the x-intercept $y=f\left( x \right)=0$. The equation then becomes: ${{x}^{3}}+2{{x}^{2}}-5x-6=0$. The x-intercepts can be found by using some technique that is currently unknown. But for the y-intercepts, put $x=0$; the equation becomes: $y=-6$. Thus, it is easy to find the y-intercepts even if the techniques for finding the x-intercepts are unknown.
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