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5.3 Logarithmic Functions duration 7 minutes 32 seconds 5.3 Logarithmic Functions 5.3 Logarithmic Functions	5.3 Logarithmic Functions Graphing logarithmic functions slower point real analysis one-fourth elementary special functions numbers closer inverse types of functions graph negative input/output logarithmic input increasing analytic geometry function asymptote notice infinity algebra special relativity mathematical objects extending approaches fastest bigger longer exponential concave equal log function exponentials output effects log inputs base rate points outputs functions plot t. change side flop From Carolyn James 227 plays 0
4.3 Exponental Graphs duration 8 minutes 12 seconds 4.3 Exponental Graphs 4.3 Exponental Graphs	4.3 Exponental Graphs Exploring graphs of exponential functions growth estimate closer graph negative y-intercept approach function asymptote notice infinity notation increases effects rabbit horizontal bigger population increasing faster exponential equation limit exponentially positive approaching rabbits decay input values times factor output functions power metapopulations approaches From Carolyn James 293 plays 0
4.1 Exponental Functions duration 19 minutes 15 seconds 4.1 Exponental Functions 4.1 Exponental Functions	4.1 Exponental Functions Overview of exponential functions, including graphs and modeling. mathematical represent multiplying micrograms communication concepts in physics psychometrics years educational assessment and evaluation growth 200(.114). measurement operation statistics ontology efficient graph systems theory carbon-14 microeconomics percentage increasing thousands growth rate function algebra effects time period real analysis change radioactive exponential times amount decreasing mathematical disambiguation original quantity rate cost step period decay table factor carbon notice steps From Carolyn James 291 plays 0
2.6 Concavity duration 8 minutes 40 seconds 2.6 Concavity 2.6 Concavity	2.6 Concavity Increasing and decreasing functions, rate of change, concavity slope function smaller direction average rate decrease positive one-half graph negative increase concavity bigger increasing contrast measuring notice shallow effects delta change average concave values decreasing output elementary mathematics From Carolyn James 218 plays 0