Precalculus (6th Edition) Blitzer

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

Chapter 4 - Cumulative Review Exercises - Page 647: 14

Answer

See graph and explanations.

Work Step by Step

Step 1. This is a polynomial function with zeros at $x=-2, 1$ Step 2. At $x=-2$, the multiplicity is $2$, so the curve will touch the x-axis and turn around Step 3. At $x=1$, the curve will across the x-axis. Step 4. End behaviors: $x\to-\infty, y\to -\infty$, $x\to\infty, y\to \infty$ Step 5. Y-intercept: $y=(-1)(2)^2=-4$ Step 6. Use the above results and test points as necessary to obtain a graph shown in the figure.
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