If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

To log in and use all the features of Khan Academy, please enable JavaScript in your browser.

Main content

Unit: Module 3: Linear and exponential functions

0

Possible mastery points

Topic A: Lessons 1-3: Arithmetic sequence intro

Learn

Practice

Extend arithmetic sequencesGet 3 of 4 questions to level up!
Use arithmetic sequence formulasGet 5 of 7 questions to level up!

Topic A: Lessons 1-3: Geometric sequence intro

Learn

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!

Quiz 1

Level up on the above skills and collect up to 500 Mastery points

Topic A: Lessons 1-3: Arithmetic sequence formulas

Learn

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!

Topic A: Lessons 1-3: Geometric sequence formulas

Learn

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!

Quiz 2

Level up on the above skills and collect up to 700 Mastery points

Topic A: Lessons 4-6: Exponential growth

Learn

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!

Topic A: Lesson 7: Exponential decay

Learn

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!

Quiz 3

Level up on the above skills and collect up to 900 Mastery points

Topic B: Lessons 8-12: Functions intro

Learn

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!

Topic B: Lessons 8-12: Function domain and range

Learn

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!

Topic B: Lessons 8-12: Recognizing functions

Learn

Practice

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

Quiz 4

Level up on the above skills and collect up to 700 Mastery points

Topic B: Lesson 13: Interpreting the graph of a function

Learn

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!

Topic B: Lesson 14: Linear and exponential Models—comparing growth rates

Learn

Exponential vs. linear growth over time
(Opens a modal)

Practice

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

Quiz 5

Level up on the above skills and collect up to 600 Mastery points

Topic C: Lesson 15: Piecewise functions

Learn

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!

Topic C: Lessons 16-20: Graphing absolute value functions

Learn

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!

Quiz 6

Level up on the above skills and collect up to 600 Mastery points

Topic D: Using functions and graphs to solve problems

Learn

Topic D: No content yet
(Opens a modal)

Up next for you:

Unit test

Level up on all the skills in this unit and collect up to 4000 Mastery points!

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