-S Lj WileyPLUS XG chegg questions - Googles+ O | edugenwileyplus.com, edugen/st

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-S Lj WileyPLUS XG chegg questions - Googles+ O | edugenwileyplus.com, edugen/student/mainfr.uni Section Chapter 11, Section 11.5, Question 034 Section Find a possible formula for the function in the figure below Sectionn Chapter 11, Sectior 11.5, Question 034 uestion 036 18 1 -18 x--6 1 x = 12 lick here to enter or edit your answe l Chapter 11, Section ection Chapter 11, Section Click if you would like to Show Work for this question: Open Show Work License Agreement Privacy Policy2000-2017 John Wiley & Sons, Inc. All Rights Reserved. A Division of John Wiley & Sons, Inc Version 4.24.0.3 4:33 PM O Type here to search @ ^41) 7/25/2017

Explanation / Answer

the x intercepts are ( 0,-12) and (0,18)

vertical asymptote is x = -6 and x = 12

horizontal asymptote is y = -6

y intercept is y = -18

x intercepts come at the top and vertical asymptotes at the bottom

y = a( x+12) (x-18 ) / ( x+6)(x-12)

now plugging y = -18 and x = 0

-18 = a ( 12)(-18) / (6)(-12)

-18 = -216a / -72

-18 = 3a

a = -6

hence , function is

y = -6( x+12) (x-18 ) / ( x+6)(x-12)

y = -6 ( x^2 -6x -216) / ( x^2 - 6x - 72 )

y = (-6x^2 + 36x + 1296 ) / ( x^2 - 6x - 72 )

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