Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.9 Write Polynomial Functions and Models - 5.9 Exercises - Quiz for Lessons 5.7-5.9 - Page 399: 11



Work Step by Step

If the function has x-intercepts $a,b,c$, then it has the form $f(x)=k(x-a)(x-b)(x-c)$. Here the x-intercepts are $-5,-2,2$, hence $f(x)=k(x+5)(x+2)(x-2)$. The function also goes through $(1,9)$, hence: $9=k(6)(3)(-1)=-18k\\k=-0.5$
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