of the hand-held calculator in1972.
256Chapter 3Exponential and Logarithmic FunctionsThis chart outlines the topics that have been covered so far in this text. Progressive Summary charts appear after Chapters 2, 3, 6, 9, and 11. In each progressive summary, new topics encountered for the first time appear in red.Algebraic FunctionsPolynomial, Rational, Radical Rewriting Polynomial form ↔ Factored formOperations with polynomialsRationalize denominatorsSimplify rational expressionsOperations with complex numbersSolving EquationStrategyLinear. . . . . . . . . . . Isolate variableQuadratic . . . . . . . . . Factor, set to zeroExtract square rootsComplete the squareQuadratic FormulaPolynomial. . . . . . . Factor, set to zeroRational Zero TestRational . . . . . . . . . . Multiply by LCDRadical. . . . . . . . . . Isolate, raise to powerAbsolute value . . . . . Isolate, form two equationsAnalyzing GraphicallyAlgebraicallyInterceptsDomain, RangeSymmetryTransformationsSlopeCompositionAsymptotesStandard formsEnd behaviorof equationsMinimum valuesLeading CoefficientMaximum valuesTestSynthetic divisionDescartes’s Rule of SignsNumericallyTable of valuesTranscendental FunctionsExponential, LogarithmicRewriting Exponential form ↔ Logarithmic formCondense/expand logarithmic expressionsSolving EquationStrategyExponential. . . . . . . Take logarithm ofeach sideLogarithmic . . . . . . . Exponentiateeach sideAnalyzing GraphicallyAlgebraicallyInterceptsDomain, RangeAsymptotesTransformationsCompositionInverse propertiesNumericallyTable of valuesOther TopicsRewriting Solving Analyzing Progressive Summary(Chapters 1–3)
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- Logarithmic Functions, Natural logarithm, Logarithm, Inverse Property
