Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 3 - Polynomial and Rational Functions - Section 3.1 Polynomial Functions and Models - 3.1 Assess Your Understanding - Page 208: 57

Answer

(a) $none$ (b) $none$. (c) $5$. (d) $y=3x^6$.

Work Step by Step

(a) Given $f(x)=3(x^2+8)^2(x^2+9)^2$, we can find zero(s) $none$ (multiplicity none). (b) The graph touches or crosses the x-axis at $none$. (c) The maximum number of turning points on the graph is $n-1=6-1=5$. (d) The end behavior is similar to those of $y=3x^6$.
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