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4.4: Graphing Rational Functions Practice Date Period

L L28031t2m ZKduct8aF VScoCfEt9wAahroeg n MAxldlC CrPiJg0hctys5 4 gM4ajdCeL KwQiWtLh4 JIGnLfYisnMiztweP 0 AZl4gheHb0rGay by Kuta Software LLCA lgebra III/TrigonometryID: 1 Name_____ Period____Date_____ 5 x2u061e28 rKEuftuae 6 SooHfetYwpaproe2 o ZAWlalH OrtiDgNhEtosK : Graphing Rational Functions PracticeIdentify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, and domain of each. Thensketch the ) f ( x ) = 4 x 3xy 8 6 4 22468 8 6 4 224682) f ( x ) = x 2 + 7 x + 12 2 x 2 2 x + 12xy 8 6 4 22468 8 6 4 224683) f ( x ) = 1 x + 4xy 8 6 4 22468 8 6 4 224684) f ( x ) = 3 x + 12 x 2 3 x 4xy 8 6 4 22468 8 6 4 22468-1- D 02J0i1T2V gKtuktyaj xSAoMfqtnwmaIrDew d eAolKlW 1r1iRg7hftPsz 5 ZMCaPdqe9 wwhi1tahO 5 INn1f4iMnHivtqew 0 AIlxg6e4bcrAaL by Kuta Software LLC5)

4.4: Graphing Rational Functions Practice Identify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, and domain of each. Then sketch the graph. 1) f (x) = 4 x − 3 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 2) f (x) = x2 + 7x + 12 −2x2 − 2x + 12 x y −8 −6 −4 −2 2 4 6 8 −8 −6 −4 −2 2 4 6 8 ...

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  Functions, Graphing, Rational, Graphing rational functions

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Transcription of 4.4: Graphing Rational Functions Practice Date Period

1 L L28031t2m ZKduct8aF VScoCfEt9wAahroeg n MAxldlC CrPiJg0hctys5 4 gM4ajdCeL KwQiWtLh4 JIGnLfYisnMiztweP 0 AZl4gheHb0rGay by Kuta Software LLCA lgebra III/TrigonometryID: 1 Name_____ Period____Date_____ 5 x2u061e28 rKEuftuae 6 SooHfetYwpaproe2 o ZAWlalH OrtiDgNhEtosK : Graphing Rational Functions PracticeIdentify the holes, vertical asymptotes, x-intercepts, horizontal asymptote, and domain of each. Thensketch the ) f ( x ) = 4 x 3xy 8 6 4 22468 8 6 4 224682) f ( x ) = x 2 + 7 x + 12 2 x 2 2 x + 12xy 8 6 4 22468 8 6 4 224683) f ( x ) = 1 x + 4xy 8 6 4 22468 8 6 4 224684) f ( x ) = 3 x + 12 x 2 3 x 4xy 8 6 4 22468 8 6 4 22468-1- D 02J0i1T2V gKtuktyaj xSAoMfqtnwmaIrDew d eAolKlW 1r1iRg7hftPsz 5 ZMCaPdqe9 wwhi1tahO 5 INn1f4iMnHivtqew 0 AIlxg6e4bcrAaL by Kuta Software LLC5) f ( x ) = 2 x 2 + 4 x + 16 x 2 5 x + 4xy 8 6 4 22468 8 6 4 224686) f ( x )

2 = x 2 3 x 2 x 2 + 2 x 12xy 8 6 4 22468 8 6 4 224687) f ( x ) = 3 x + 6 x + 3xy 8 6 4 22468 8 6 4 224688) f ( x ) = x 2 + 5 x + 4 x 2 1xy 8 6 4 22468 8 6 4 22468-2- E j2S0W1a2A kKiuhtCag ISKo8fttrwSarrdeX u ZASl0lX frMiSgBhqtEst l WMra6dAe3 vwxistyha wIqnYfmi6nXiQtgeT YA5lggge1burWaU by Kuta Software LLC-3-Answers to : Graphing Rational Functions Practice (ID: 1)1) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 3 Holes: NoneHorz. Asym.: y = 0X-intercepts: NoneDomain: All reals except 32) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.

3 : x = 2 Holes: x = 3 Horz. Asym.: y = 12X-intercepts: 4 Domain: All reals except 2, 33) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 4 Holes: NoneHorz. Asym.: y = 0X-intercepts: NoneDomain: All reals except 44) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Holes: x = 4 Horz. Asym.: y = 0X-intercepts: NoneDomain: All reals except 1, 45) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Holes: x = 4 Horz. Asym.: y = 2X-intercepts: 2 Domain: All reals except 1, 46) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.

4 : x = 3, x = 2 Holes: NoneHorz. Asym.: y = 12X-intercepts: 0, 3 Domain: All reals except 3, 27) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 3 Holes: NoneHorz. Asym.: y = 3X-intercepts: 2 Domain: All reals except 38) xy 8 6 4 22468 8 6 4 22468 Vertical Asym.: x = 1 Holes: x = 1 Horz. Asym.: y = 1X-intercepts: 4 Domain: All reals except 1, 1


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