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: 108

Answer

$y=x(x+4)(x-3)$ as shown in the graph.

Work Step by Step

Step 1. Identify the zeros as $x=-4,0,3$; thus the equation contains factors $x^k(x+4)^m(x-3)^n$ where $k,m,n$ are positive integers. Step 2. Identify the end behaviors as $x\to-\infty,y\to-\infty$ and $x\to\infty,y\to\infty$ based on the given conditions. Step 3. We can identify the leading coefficient to be positive and the degree to be odd with a minimum of $k=m=n=1$ Step 4. We can write an example function as $y=x(x+4)(x-3)$ as shown in the graph.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

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.