A1.12
Create equations in two or more variables to represent relationships between quantities in context; graph equations on coordinate axes with labels and scales and use them to make predictions. Limit to contexts arising from linear, quadratic, exponential, absolute value, and linear piecewise functions.
Example Problems
Graph:
Graph:
Graph:
Khan Academy ResourcesAbsolute value graphs reviewLogarithm change of base rule introSolving exponential equations using logarithmsExponential model word problemsGraphing exponential growth & decaySolve exponential equations using logarithms: base-2 and other basesSolve exponential equations using logarithms: base-10 and base-eGraph absolute value functionsGraphs of exponential growthPiecewise functions graphsEvaluate logarithms: change of base ruleEvaluate piecewise functionsQuadratic equations word problem: triangle dimensionsIntro to exponential functionsQuadratic equations word problem: box dimensionsExponential function graphEvaluating logarithms: change of base ruleGraphing exponential growth & decaySolving exponential equations using logarithms: base-10Graphing absolute value functionsExponential model word problem: bacteria growthGraphs of exponential growthWorked example: graphing piecewise functionsExponential model word problem: medication dissolveTwo-variable linear equations introWorked example: evaluating piecewise functionsIntroduction to piecewise functionsSolving exponential equations using logarithms: base-2Worked example: domain & range of piecewise linear functionsWorked example: domain & range of step function

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