F-LE.2
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Example Problems
Find an explicit formula, , for the arithmetic sequence:
Find an explicit formula, , for the following geometric sequence:
Find an explicit formula, , for the geometric sequence:
Khan Academy ResourcesLogarithm change of base rule introWriting slope-intercept equationsIntro to slope-intercept formIntro to slopeSolving exponential equations using logarithmsSlope formulaSlope reviewSlope-intercept form reviewSlope-intercept introSlope from two pointsExponential model word problemsSlope-intercept from two pointsSolve exponential equations using logarithms: base-2 and other basesSlope from graphSolve exponential equations using logarithms: base-10 and base-eLinear models word problemsSlope-intercept equation from graphSlope from equationEvaluate logarithms: change of base ruleConstruct exponential modelsSlope-intercept equation from graphSlope-intercept form problemsWorked example: slope from graphConverting to slope-intercept formSlope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSlope-intercept equation from slope & pointSlope-intercept equation from two pointsEvaluating logarithms: change of base ruleConstructing exponential models: percent changeConstructing exponential models: half lifeSolving exponential equations using logarithms: base-10Linear functions word problem: icebergLinear functions word problem: paintExponential model word problem: bacteria growthSlope & direction of a lineExponential model word problem: medication dissolvePositive & negative slopeSlope from equationTwo-variable linear equations introIntro to slope-intercept formSolving exponential equations using logarithms: base-2Worked examples: slope-intercept introConstructing exponential modelsIntro to slope

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