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ID：31577814
大小：12.29 MB
页数：789页
时间：2019-01-13
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1、EXPONENTSANDRADICALSDISTANCEANDMIDPOINTFORMULASmxxmxnxmnxmnDistancebetweenP11x1,y12andP21x2,y22:nx221d21x2x121y2y12mnmnn1x2xxnxx1x2y1y2xnxnMidpointofP1P2:a,b1xy2nxnynab22ynyx1/nnm/nnmnm1xx1xA1xBLINESnnnn1xy1x1ynx1xnSlopeoflinethroughy2y1mnnmmnBy1ym21x21x1xP11
2、x1,y12andP21x2,y22x2x1Point-slopeequationoflineyy1m1xx12SPECIALPRODUCTSthroughP11x1,y12withslopem221xy21xy2xySlope-interceptequationofymxb222linewithslopemandy-interceptb1xy2x2xyy2221xy2x2xyyTwo-interceptequationoflinexy133223ab1xy2x3xy3xyywithx-interceptaan
3、dy-interceptb332231xy2x3xy3xyyThelinesym1xb1andym2xb2areParalleliftheslopesarethesamem1m2FACTORINGFORMULASPerpendiculariftheslopesarem11/m222xy1xy21xy2negativereciprocals222x2xyy1xy2222LOGARITHMSx2xyy1xy23322ylogxmeansayxxy1xy21xxyy2a3322logaxxalogax
4、xxy1xy21xxyy2aloga10logaa1QUADRATICFORMULACommonandnaturallogarithms2Ifaxbxc0,thenlogxlog10xlnxlogex2b2b4acx2aLawsoflogarithmslogaxylogaxlogayINEQUALITIESANDABSOLUTEVALUExlogaablogaxlogayyIfabandbc,thenac.bIfab,thenacbc.logaxblogaxIfabandc0,thencacb.Ch
5、angeofbaseformulaIfabandc0,thencacb.logaxlogbxIfa0,thenlogab0x0ameansxaorxa.0x0ameansaxa.0x0ameansxaorxa.GRAPHSOFFUNCTIONSExponentialfunctions:fÓxÔaxyyLinearfunctions:f1x2mxbÏ=a˛Ï=a˛yya>106、rfunctions:f1x2xa>107、x8、Ï=“x‘xÏ=x¢Ï=x∞SHIFTINGOFFUNCTIONSnRootfunctions:f1x21xVerticalshiftingyyyy=Ï+cy=Ïxxcy=Ï-ccÏ=œx∑Ï=£œx∑xc>0nReciprocalfunctions:f1x21/xyyHorizontalshiftingy=f(x+c)y=Ïyxxy=f(x-c)c11Ï=Ï9、=cx≈xc>0FIFTHEDITIONCollegeAlgebraABOUTTHEAUTHORSJAMESSTEWARTreceivedhisMSLOTHARREDLINgrewuponSALEEMWATSONreceivedhisfromStanfordUniversityandhisPhDVancouverIsland,receivedaBachelorBachelorofSciencedegreefromfromtheUniversityofToronto.HedidofSciencedegreefromtheUniversityAndrewsUniv10、ersityinMichigan.He
6、rfunctions:f1x2xa>107、x8、Ï=“x‘xÏ=x¢Ï=x∞SHIFTINGOFFUNCTIONSnRootfunctions:f1x21xVerticalshiftingyyyy=Ï+cy=Ïxxcy=Ï-ccÏ=œx∑Ï=£œx∑xc>0nReciprocalfunctions:f1x21/xyyHorizontalshiftingy=f(x+c)y=Ïyxxy=f(x-c)c11Ï=Ï9、=cx≈xc>0FIFTHEDITIONCollegeAlgebraABOUTTHEAUTHORSJAMESSTEWARTreceivedhisMSLOTHARREDLINgrewuponSALEEMWATSONreceivedhisfromStanfordUniversityandhisPhDVancouverIsland,receivedaBachelorBachelorofSciencedegreefromfromtheUniversityofToronto.HedidofSciencedegreefromtheUniversityAndrewsUniv10、ersityinMichigan.He
7、x
8、Ï=“x‘xÏ=x¢Ï=x∞SHIFTINGOFFUNCTIONSnRootfunctions:f1x21xVerticalshiftingyyyy=Ï+cy=Ïxxcy=Ï-ccÏ=œx∑Ï=£œx∑xc>0nReciprocalfunctions:f1x21/xyyHorizontalshiftingy=f(x+c)y=Ïyxxy=f(x-c)c11Ï=Ï
9、=cx≈xc>0FIFTHEDITIONCollegeAlgebraABOUTTHEAUTHORSJAMESSTEWARTreceivedhisMSLOTHARREDLINgrewuponSALEEMWATSONreceivedhisfromStanfordUniversityandhisPhDVancouverIsland,receivedaBachelorBachelorofSciencedegreefromfromtheUniversityofToronto.HedidofSciencedegreefromtheUniversityAndrewsUniv
10、ersityinMichigan.He
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