HSF.LE.A.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 the power series for f.

Find the power series for f.

Find the power series for f.
Khan Academy Resources
Forms of linear equations reviewArithmetic sequences reviewExplicit formulas for arithmetic sequencesWriting slope-intercept equationsIntro to slope-intercept formPoint-slope form reviewSlope reviewSlope-intercept form reviewGeometric sequences reviewRecursive formulas for arithmetic sequencesPoint-slope formExponential functions from tables & graphsRecursive formulas for arithmetic sequencesWriting linear equations word problemsWriting functions with exponential decaySlope-intercept from two pointsHorizontal & vertical linesRecursive formulas for geometric sequencesSlope from graphExplicit formulas for geometric sequencesLinear models word problemsSlope-intercept equation from graphSequences word problemsLinear equations in any formExponential expressions word problems (algebraic)Explicit formulas for arithmetic sequencesConstruct exponential modelsLinear vs. exponential growth: from dataSlope (more examples)Slope-intercept equation from graphSlope-intercept form problemsIntro to exponential functionsArithmetic sequence problemWorked example: slope from graphWriting linear equations in all formsSlope of a horizontal lineSlope-intercept equation from slope & pointSlope-intercept equation from two pointsConstructing exponential models: percent changeConstructing exponential models: half lifeExplicit & recursive formulas for geometric sequencesLinear models word problem: bookLinear functions word problem: icebergLinear functions word problem: paintPoint-slope & slope-intercept equationsConstructing exponential models (old example)Writing exponential functions from tablesSequences word problemsPositive & negative slopeConstructing linear equations from contextIntro to point-slope formLinear models word problem: marblesInitial value & common ratio of exponential functionsWriting exponential functions from graphsIntro to slope-intercept formWriting functions with exponential decayHorizontal & vertical linesWriting exponential functionsConstructing exponential modelsModeling with basic exponential functions word problemExponential expressions word problems (algebraic)Explicit formulas for arithmetic sequencesIntro to slopeRecursive formulas for arithmetic sequences
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