A2.14.a

Find the approximate solutions of an equation graphically, using tables of values, or finding successive approximations, using technology where appropriate. Extend to cases where f(x) and/or g(x) are polynomial, trigonometric (sine and cosine), logarithmic, radical, and general piecewise functions.

Khan Academy Resources

Graphs of polynomials: Challenge problemsZeros of polynomials & their graphsGraphs of polynomialsSymmetry of algebraic modelsPositive & negative intervals of polynomialsQuadratic word problems (standard form)Periodicity of algebraic modelsZeros of polynomials (with factoring)Interpret quadratic modelsEnd behavior of algebraic modelsPositive & negative intervals of polynomialsZeros of polynomials (multiplicity)Features of quadratic functionsParabolas introZeros of polynomials (factored form)Solving quadratics by completing the square: no solutionPeriodicity of algebraic modelsInterpret quadratic models: Factored formZeros of polynomials (with factoring): groupingParabolas introMultiplicity of zeros of polynomialsEnd behavior of algebraic modelsSymmetry of algebraic modelsZeros of polynomials: matching equation to graphZeros of polynomials: matching equation to zerosVertex form introductionForms & features of quadratic functionsZeros of polynomials: plotting zerosWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsInterpret quadratic models: Vertex formZeros of polynomials (with factoring): common factorZeros of polynomials (multiplicity)Zeros of polynomials introduction

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