A2.17

For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Note: Key features include intercepts; intervals where the function is increasing, decreasing, positive, or negative; maximums and minimums; symmetries (including even and odd); end behavior; and periodicity. Extend to polynomial, trigonometric (sine and cosine), logarithmic, reciprocal, radical, and general piecewise functions.

Khan Academy Resources

Intro to arithmetic sequence formulasArithmetic sequences reviewGeometric sequences reviewConverting recursive & explicit forms of arithmetic sequencesRecursive formulas for arithmetic sequencesUse arithmetic sequence formulasUse geometric sequence formulasRecursive formulas for arithmetic sequencesConverting recursive & explicit forms of arithmetic sequencesLinear equations word problemsRecursive formulas for geometric sequencesInterpret quadratic modelsEvaluate sequences in recursive formFunction notation word problemsConverting recursive & explicit forms of geometric sequencesExponential vs. linear growth over timeInterpret exponential expressions word problemsIntro to arithmetic sequencesSequences introSequences and domainExplicit & recursive formulas for geometric sequencesUsing recursive formulas of geometric sequencesWorked example: using recursive formula for arithmetic sequenceInterpret quadratic models: Factored formConverting recursive & explicit forms of arithmetic sequencesUsing arithmetic sequences formulasComparing maximum points of quadratic functionsEvaluating sequences in recursive formConverting recursive & explicit forms of geometric sequencesWorked examples: Forms & features of quadratic functionsComparing features of quadratic functionsWorked example: domain & range of piecewise linear functionsInterpret quadratic models: Vertex formRecursive formulas for arithmetic sequences

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