Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Exercise Set - Page 326: 71


See below.

Work Step by Step

The leading coefficient of $f$ is $-1$, which is negative and the degree of $f$ is $4$, which is even. Thus the function falls to the left and falls to the right. Thus at one point $f$ is going to be $0$, thus the population will become extinct at one point.
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