Precalculus: Mathematics for Calculus, 7th Edition

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

Chapter 3 - Review - Exercises - Page 320: 15

Answer

a. $x → ∞, P(x) → ∞$ $x → -∞, P(x) → -∞$ b. See graph below

Work Step by Step

The question asks for the end behavior and a graph of P(x) Given $P(x) = (x-3)(x+1)(x-5)$ The degree of P(x) is odd and the leading coefficient is positive. Thus the end behavior will be: $x → ∞, P(x) → ∞$ $x → -∞, P(x) → -∞$ See graph below.
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