Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 11 - Polynomial and Rational Functions - Review Exercises and Problems for Chapter Eleven - Page 486: 47

Answer

y=-1/16x^{2}* (x+3)^{2}(x-3)

Work Step by Step

From the graph, x=-3 so 0 and 3 are the roots. The curve does not cross the x axis at -3, so there are the multiple roots. So, y=Kx^{2}(x+3)^{2}(x-3) And y(1)=2 y(1)=k(1)^{2}*(1+3)^{2}*(1-3) 2=K(-32) K = -1/16 The possible formula is: y=-1/16x^{2}* (x+3)^{2}(x-3)
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