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# Unit 3: Module 3: Linear and exponential functions

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## 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### Learn

### 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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### Practice

- Extend geometric sequencesGet 3 of 4 questions to level up!
- Extend geometric sequences: negatives & fractionsGet 3 of 4 questions to level up!
- Use geometric sequence formulasGet 3 of 4 questions to level up!

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### Practice

- 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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### Practice

- 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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### 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!
- 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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### 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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### 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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### 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!

### Learn

### 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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### 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!

### Practice

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

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### 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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### 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!

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