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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
Practice
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
Practice
Extend geometric sequencesGet 3 of 4 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 & recursive formulas for geometric sequencesConverting recursive & explicit forms of geometric sequencesSequences word problems
Practice
Explicit formulas for 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
Practice
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!
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Exponential function graphGraphs of exponential growthExponential decay introGraphing exponential growth & decayExponential growth & decay word problems
Practice
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
Practice
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
Practice
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
Practice
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
Practice
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
Practice
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
Practice
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!

About this unit

"In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module, students extend their study of functions to include function notation and the concepts of domain and range. They explore many examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations." Eureka Math/EngageNY (c) 2015 GreatMinds.org