Graphing Logarithmic Functions PDF

MATHEMATICS 5 SN Name___________________________________ ID: 1 ©K R2]0a1T6h ^KNugtBav uS[oPfXtMwvavrHek hLJLICj.l c DAjlglM grGiygFhztdsx Ir`eSsge_rtv]e[dZ. GRAPHING LOGARITHMIC FUNCTIONS Identify the domain and range of...

MATHEMATICS 5 SN Name___________________________________ ID: 1 ©K R2]0a1T6h ^KNugtBav uS[oPfXtMwvavrHek hLJLICj.l c DAjlglM grGiygFhztdsx Ir`eSsge_rtv]e[dZ. GRAPHING LOGARITHMIC FUNCTIONS Identify the domain and range of each. Then sketch the graph. 1) f ( x) = log 1 (3x + 1) + 5 2) f ( x) = log 5 (4x + 7) + 4 2 y 8 y 8 6 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 3) f ( x) = log 3 (3x - 4) - 2 4) f ( x) = log 2 (2x + 2) + 5 y y 8 8 6 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 Worksheet by Kuta Software LLC -1- ©` R2o0S1[6m SKFuutfan VSgokfptFwyamreex KLjLCCs.l S AAXlhlY Sr_iCgVhetHse KrfeGs^emruv[eldX.Z a hMhajdmew cwSiTtPhF FIcnifEiDnbiRtne[ rAOlYgfeBbwrva_ Z2`. 5) f ( x) = log 6 (4x - 2) - 4 6) f ( x) = log (4x + 15) - 5 y y 8 8 6 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 7) f ( x) = log 1 (3x + 14) 8) f ( x) = log 4 (3x + 12) - 3 5 y 8 y 8 6 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 9) f ( x) = log 6 (2x + 8) + 5 10) f ( x) = log 3 (3x - 1) - 5 y y 8 8 6 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 Worksheet by Kuta Software LLC -2- ©Y k2g0C1k6x TKHuCtFaI uSUolfjtGwuaWrMed zLJLwCQ.b J nAMlOlx Xrxiegghftpsp vrJeQsxeQrMvAeydH.t w TMFaFdceY owkiptph_ CI]nAfaiknsiXtyep ZAjlqgmeIbsruaO P2p.  Answers to GRAPHING LOGARITHMIC FUNCTIONS (ID: 1) 1) 2) y 1 y 7 8 Domain: x > - 8 Domain: x > - 3 4 6 Range: All reals 6 Range: All reals 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 3) 4) y y 4 Domain: x > -1 8 Domain: x > 8 3 Range: All reals 6 Range: All reals 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 5) 6) y 1 y 15 8 Domain: x > 8 Domain: x > - 2 4 6 Range: All reals 6 Range: All reals 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 7) 8) y y 14 Domain: x > -4 8 Domain: x > - 8 3 Range: All reals 6 Range: All reals 6 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 9) y 10) Domain: x > -4 y 1 8 8 Domain: x > Range: All reals 3 6 6 Range: All reals 4 4 2 2 -8 -6 -4 -2 2 4 6 8 x -8 -6 -4 -2 2 4 6 8 x -2 -2 -4 -4 -6 -6 -8 -8 Worksheet by Kuta Software LLC -3- ©R K2v0b1j6X vKFuStCav qSwoBfotFwtaArbe` dLpLSCk.M x gAvlYlJ Lrlivgphqtfs\ crVegsueirWvcendx.g P kMBaGdPeK wwnixtph` UIrnDf_iRnaiytFet rAYlsgsenbArja\ Z2I.