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# Module 3: Linear and exponential functions

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Sequences introIntro to arithmetic sequencesIntro to arithmetic sequencesExtending arithmetic sequencesUsing arithmetic sequences formulasIntro to arithmetic sequence formulasWorked example: using recursive formula for arithmetic sequence

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Extend arithmetic sequencesGet 3 of 4 questions to level up!

Use arithmetic sequence formulasGet 5 of 7 questions to level up!

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Intro to geometric sequencesExtending geometric sequencesUsing explicit formulas of geometric sequencesUsing recursive formulas of geometric sequences

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Extend geometric sequencesGet 3 of 4 questions to level up!

Extend geometric sequences: negatives & fractionsGet 4 of 5 questions to level up!

Use geometric sequence formulasGet 3 of 4 questions to level up!

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Explicit formulas for arithmetic sequencesExplicit formulas for arithmetic sequencesArithmetic sequence problemRecursive formulas for arithmetic sequencesRecursive formulas for arithmetic sequencesConverting recursive & explicit forms of arithmetic sequencesConverting recursive & explicit forms of arithmetic sequences

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Explicit formulas for arithmetic sequencesGet 3 of 4 questions to level up!

Recursive formulas for arithmetic sequencesGet 3 of 4 questions to level up!

Converting recursive & explicit forms of arithmetic sequencesGet 3 of 4 questions to level up!

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Explicit & recursive formulas for geometric sequencesConverting recursive & explicit forms of geometric sequencesSequences word problems

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Explicit formulas for geometric sequencesGet 3 of 4 questions to level up!

Recursive formulas for geometric sequencesGet 3 of 4 questions to level up!

Converting recursive & explicit forms of geometric sequencesGet 3 of 4 questions to level up!

Sequences word problemsGet 3 of 4 questions to level up!

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Intro to exponential functionsExponential vs. linear growthExponential vs. linear models: verbalExponential vs. linear models: tableExponential expressions word problems (numerical)Initial value & common ratio of exponential functionsExponential expressions word problems (algebraic)Interpreting exponential expression word problem

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Warmup: exponential vs. linear growthGet 3 of 3 questions to level up!

Exponential vs. linear growthGet 3 of 4 questions to level up!

Exponential vs. linear modelsGet 3 of 4 questions to level up!

Exponential expressions word problems (numerical)Get 3 of 4 questions to level up!

Exponential expressions word problems (algebraic)Get 3 of 4 questions to level up!

Interpret exponential expressions word problemsGet 3 of 4 questions to level up!

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Exponential function graphGraphs of exponential growthExponential decay introGraphing exponential growth & decayExponential growth & decay word problems

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Graphs of exponential growthGet 3 of 4 questions to level up!

Exponential growth vs. decayGet 3 of 4 questions to level up!

Graphing exponential growth & decayGet 3 of 4 questions to level up!

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Lesson 8: No content yetWhat is a function?Worked example: Evaluating functions from equationWorked example: Evaluating functions from graphWorked example: evaluating expressions with function notation

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Evaluate functionsGet 3 of 4 questions to level up!

Evaluate functions from their graphGet 3 of 4 questions to level up!

Evaluate function expressionsGet 3 of 4 questions to level up!

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What is the domain of a function?What is the range of a function?Intervals and interval notationWorked example: domain and range from graphDomain of a radical functionWorked example: domain of algebraic functions

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Domain and range from graphGet 5 of 7 questions to level up!

Determine the domain of functionsGet 3 of 4 questions to level up!

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Recognizing functions from graphDoes a vertical line represent a function?Recognizing functions from tableRecognizing functions from verbal descriptionRecognizing functions from verbal description word problem

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Recognize functions from graphsGet 3 of 4 questions to level up!

Recognize functions from tablesGet 3 of 4 questions to level up!

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Increasing, decreasing, positive or negative intervalsWorked example: positive & negative intervalsIntroduction to minimum and maximum pointsWorked example: absolute and relative extremaGraph interpretation word problem: temperatureGraph interpretation word problem: basketball

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Positive and negative intervalsGet 3 of 4 questions to level up!

Increasing and decreasing intervalsGet 3 of 4 questions to level up!

Relative maxima and minimaGet 3 of 4 questions to level up!

Absolute maxima and minimaGet 3 of 4 questions to level up!

Graph interpretation word problemsGet 3 of 4 questions to level up!

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Exponential vs. linear growth over time

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Exponential vs. linear growth over timeGet 3 of 4 questions to level up!

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Introduction to piecewise functionsWorked example: evaluating piecewise functionsWorked example: graphing piecewise functionsWorked example: domain & range of step functionWorked example: domain & range of piecewise linear functions

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Evaluate piecewise functionsGet 3 of 4 questions to level up!

Evaluate step functionsGet 3 of 4 questions to level up!

Piecewise functions graphsGet 3 of 4 questions to level up!

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Lesson 16: No content yetShifting absolute value graphsScaling & reflecting absolute value functions: equationScaling & reflecting absolute value functions: graphGraphing absolute value functions

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Shift absolute value graphsGet 3 of 4 questions to level up!

Scale & reflect absolute value graphsGet 3 of 4 questions to level up!

Graph absolute value functionsGet 3 of 4 questions to level up!

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