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MATH 137 (24)
Chapter

curve sketching algorithm

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Department
Mathematics
Course
MATH 137
Professor
Jennifer Nissen
Semester
Fall

Description
SummaryofCurveSketchingTechniquesBelowaresomegeneralstepstogothroughwhensketchingafunctionfxPleasenotethatnoteverystepisrelevanttoeveryfunction1DomainFindDfthesetofvaluesofxforwhichfxisdened2Interceptsyinterceptisf0Findxinterceptbysettingfx0andsolvingOmitthisstepifequationisdiculttosolve3SymmetryIsthefunctionevenoddorperiodic4AsymptotesaHorizontalCalculatelimfxandlimfxx1x1bVerticalArethereanynumbersawherelimfx1xacSlantObliqueIstherealineymxbsuchthatlimfxmxb0Oftenseeninrationalfunctionswherethex1degreeofthenumeratorislargerthanthedegreeofthedenominator5IntervalsofIncreaseDecrease0CalculatefxandndallcriticalnumbersoffUsethesecriticalnum
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