Graphing Functions from Limits: A Calculus AB Guide
School
K¹² International Academy**We aren't endorsed by this school
Course
MATH CALCULUS
Subject
Mathematics
Date
Dec 12, 2024
Pages
7
Uploaded by SuperPelican4655
CalculusABAssignmentDeterminingGraphs When Given LimitsDirectionsIn eachproblemyou’regiveninformationaboutlimits.Yourjobistodrawa functionwiththose limits. There will be many different correct answers. You need only provide one.Remember, a limit of the formrepresents a vertical asymptote, and a limitof the formrepresents ahorizontal asymptote.Example: Draw a graph of some unknown function fthat satisfies the following:Solution:Firststepistosketchintheseasymptotes(lightly):Thendrawagraphthatswoopstherightdirectionintherightplaces.Forinstance,herethelimitasx→1 frombelowis+∞,sothegraphmustswoopupwardasitheadstowardthatverticalasymptotefromtheleft.Here’soneanswer:Youranswermaylookdifferent.Foronething,noinformationisgivenabouthowquicklythesefunctionsstarthuggingtheirasymptotes.Butyourgraphsshouldbesimilartothisone,andtheirbehaviorneartheasymptotesshouldbethesame.1Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.-5 0 5 10 15 20 -10 -5 5 10 x xy
CalculusABAssignmentDeterminingGraphsWhenGivenLimits1.Drawagraphofsomeunknownfunctionfthatsatisfiesthefollowing:2.Draw a graph of some unknown function fthat satisfies the following:Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.
3.Drawagraphofsomeunknownfunctionfthatsatisfiesthefollowing:Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.
4.Drawagraphofsomeunknownfunctionfthatsatisfiesthefollowing:Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.
2CalculusABAssignmentDeterminingGraphsWhenGivenLimits5.Drawagraphofsomeunknownfunctionfthatsatisfiesthefollowing:Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.
BrainTeaser(Optional)Explicitlydeterminefunctions(intheformofequations)foreachquestionthatsatisfythegivenconditions.You’llprobablyneedtobuildpiecewisefunctions.Someofthemareprettytough!Copyright © 2021 Apex Learning. See Terms of Use for further information. Images of the TI-84 calculator are used with thepermission of Texas Instruments Incorporated. Copyright © 2011 Texas Instruments Incorporated.
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