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Preview of Polynomial Max/Min Values & Intervals of Increase/Decrease | Lesson, Worksheets

Polynomial Max/Min Values & Intervals of Increase/Decrease | Lesson, Worksheets

How to identify the intervals where polynomial functions are increasing and decreasing [using proper domain notation]. How to find all polynomial extrema values [local/relative & absolute maximum and minimum values]. Full lesson with 6 polynomial worksheets.----------------------------------------------------------------------✫ THIS ZIP-FILE IS ALSO INCLUDED IN MY ENTIRE POLYNOMIALS UNIT BUNDLE!✫ You might also be interested in: Long & Synthetic Division and Rational Roots / Zeros Theorem-----
Preview of Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

Finding Extrema & Intervals of Increase and Decrease | Calculus Derivative

Help your students build strong calculus foundations with this comprehensive and visually clear worksheet + mini-lesson on relative and absolute extrema and increasing/decreasing intervals! Students will learn how to use first and second derivatives to analyze functions, identify critical points, and determine where functions are increasing or decreasing — all through step-by-step guided problems. What’s Included:✅ Engaging Lesson Page explaining: Critical points Relative and absolut
Preview of Increasing and Decreasing vs Growth and Decay of Exponential Functions Notes

Increasing and Decreasing vs Growth and Decay of Exponential Functions Notes

Do you want a lesson on increasing & decreasing vs growth & decay of exponential functions? This lesson is ready to use and has everything you need! In this lesson your students will learn how to identify if an exponential function is exponential growth or exponential decay and if the exponential function is increasing or decreasing. Students will learn the difference between increasing/decreasing and exponential growth/decay. This lesson includes: ✨ 1 page of guided notes ✨ 1 page of practice ✨
Preview of Increasing and Decreasing Intervals

Increasing and Decreasing Intervals

Bundle of resources for a lesson on Increasing and Decreasing Intervals. Includes the following (note that all resources can be edited, equations may require MathType): PowerPoint presentation for the lesson itselfWord Guided Notes to go with lessonWord handouts for a homework assignment plus 1 to 6 extra practice problem sets, depending on the lesson. Most questions are at AP level of rigor.PowerPoint presentations for full solutions to problem setsThe layout is very straightforward (no visua
Preview of Increasing and Decreasing Intervals of Functions (Desmos Graphing Calculator)

Increasing and Decreasing Intervals of Functions (Desmos Graphing Calculator)

Students use the desmos graphing calculator to graph 3 different functions and state where each function is increasing and decreases as well as the corresponding intervals.
Preview of Expansive Sequences and Series Lesson

Expansive Sequences and Series Lesson

Created by
Kendon Black
This is a thorough lesson on sequences and series. Although it does not include all of the convergence tests. (Those are in the next document.) The document focuses on definitions of various terms, types of series, and there properties. It includes 18 example problems. Topics tackled include sequence notation, series notation (summation notation), writing the terms of a sequence given the definition and vice versa, recursively-defined sequences, bounds, increasing/decreasing/non-increasing/non-d
Preview of Characteristics of Polynomial Functions Notes

Characteristics of Polynomial Functions Notes

Created by
Dana Kick
Notes on a few quick topics my students were struggling with! Intervals of increase and decrease, intercepts, extrema, maximum and minimum, end behavior, domain and range. My special ed students needed some very clear outlined notes on these topics, so I made this for them. Hope you like it too! Stay tuned for practice pages to go with these notes!
Preview of Analyzing Functions Notes and Worksheet

Analyzing Functions Notes and Worksheet

Guided notes and a follow up worksheet on where a graph of a function is increasing, decreasing, constant, piecewise functions, difference quotient and determining whether functions are even/odd/neither functions. Answer key included.
Preview of Characteristics and Attributes of Functions (Algebra 2 - Lesson 2)

Characteristics and Attributes of Functions (Algebra 2 - Lesson 2)

Notes and assignment over characteristics and attributes of functions for Algebra 2. This lesson goes over intervals where a function is increasing, decreasing, positive and negative. Identifying a function's domain and range is also required. This is typically a difficult lesson for Algebra 2 on-level students and may require 2 days to go over. TUTORIAL VIDEO included (no prep to you!) and can be found on my YouTube Channel: Mandy’s Math World - the video is on the Foundations for Functions
Preview of Parent Functions & Graphs Lesson | Warm-Up | Guided Notes | Homework

Parent Functions & Graphs Lesson | Warm-Up | Guided Notes | Homework

Build student engagement and participation as you teach functions. This Parent Functions and Graphs Lesson covers graphs of linear, absolute value, quadratic, and greatest integer functions by analyzing continuity, intercepts, local minima and maxima, intervals of increase and decrease, end behavior, asymptotes, domain and range in a creative, comprehensive, and clear way. Scaffolding is embedded right into the guided notes that students complete while you teach. Students remain motivated to pr
Preview of Applications of Derivatives Unit

Applications of Derivatives Unit

Bundle of resources for an AP Calculus level Unit on Applications of Derivatives. Includes the following (note that all resources can be edited, equations may require MathType): 13 full lessons:Extreme Values of FunctionsIncreasing and Decreasing IntervalsLocal ExtremaConcavityPoints of InflectionGraphical AnalysisMean Value TheoremLinearizationDerivatives of InversesL'Hospital's RuleMotionRelated Rates (Basic)Related Rates (Advanced)Each lesson includes:PowerPoint presentation for the lesson it
Preview of Key Features of Functions Algebra Activity Flip Book

Key Features of Functions Algebra Activity Flip Book

Created by
Mathberry Lane
Algebra Teachers - Grab this Key Features of Functions Flip Book! It's a Game Changer!Need an engaging resource for teaching key features of functions? Give your students a clear, organized way to master concepts like: What’s Included:✔️ Intercepts ✔️ Domain & Range ✔️ Relative Maximums and Minimums ✔️ Increasing/Decreasing Intervals ✔️ End Behavior✔️Flip Book Assembly Instructions✔️Answer KeyThis Key Features of Functions Flip Book includes graphic organizers and quick practice for each topic.
Preview of Analyzing Key Features of Functions Foldable

Analyzing Key Features of Functions Foldable

Looking to help your students learn the different aspects of analyzing functions? This foldable is the perfect intro and helps students visually see each characteristic along side a definition. Topics included: Linear/non-linearInterceptsLine SymmetryMaximum(s) and Minimum(s)Positive and Negative IntervalsIncreasing & Decreasing IntervalsDomain & RangeEnd Behavior (the answer key writes end behavior with arrows, like (, ), but you can adapt if using this foldable in a more-advanced course)All e
Preview of Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Key Features of Polynomial Graphs Interactive Notes and Student Practice Pages

Created by
Math by Miriam
After you have introduced some basic concepts about polynomial functions and their graph to students, begin introducing them to analyzing the key features of the graph: zeros, turning points, local extrema, intervals where the function is positive & negative, and intervals where the function is increasing & decreasing. These scaffolded notes and practice pages work great for students to understand this complex topic. The only thing students need besides the note or practice page you give th
Preview of Characteristics of Exponential Functions Notes and Practice

Characteristics of Exponential Functions Notes and Practice

Do you need a complete lesson on identifying the characteristics of exponential functions? This lesson is ready to use and has everything you need! In this lesson your students will learn how to identify domain, range, asymptote, and end behavior or exponential functions. Students will also identify if an exponential function is increasing or decreasing and if it exponential growth or exponential decay. This lesson includes: ✨ 1 page of guided notes ✨ 1 page of practice ✨ 1 video lesson ✨ 3 exi
Preview of Characteristics of Linear Functions Notes and Practice

Characteristics of Linear Functions Notes and Practice

Are you looking for engaging lessons on the characteristics of linear functions? These lessons are ready to use and include everything you need to teach your students about the characteristics of linear functions. In these lessons your students will learn how to identify the following characteristics: Discrete vs ContinuousDomain and Rangex and y interceptsEnd BehaviorIncreasing and DecreasingStudents will also learn about interval notation. These lessons include:✨ 6 pages of notes ✨ 2 pages o
Preview of Pre-Calculus H:  Section 1.2 notes - Characteristics of Functions (w/ TK Sheet)

Pre-Calculus H: Section 1.2 notes - Characteristics of Functions (w/ TK Sheet)

This product includes the following: Fill in the blank copy of Guided notes and its key. The notes can be easily printed for students or downloadable for any device. This lesson is from my Pre-Calculus H Curriculum (in Unit # 1). This lesson includes the following concepts: Defining and applying symmetry and classification of functions.Defining and applying critcal point(s) and increasing/decreasing/constant intervals graphically using interval notationDefining and applying domain and range gra
Preview of Video:  Introduction to Polynomial Graphs (Algebra 2)

Video: Introduction to Polynomial Graphs (Algebra 2)

Created by
Elli S
Topic of this video: Introduction to Polynomial Graphs Unit: Polynomials Course: Algebra 2 Video Duration: 19 minutes, 1 second This video: How to put polynomials in standard form, with examplesHow to name polynomials by degree and number of terms, with examplesDescribes how the degree of a polynomial affects its graphGiven a graph, go over how to determine end behavior, intervals of increasing and decreasing, and turning pointsHow to write intervals of increasing and decreasing in both interval
Preview of Characteristics of Exponential Functions Bundle

Characteristics of Exponential Functions Bundle

Do you need a complete unit on the characteristics of exponential functions? This bundle has EVERYTHING you need!Students will learn how to identify transformations given a parent function, how to graph exponential functions, and characteristics of exponential functions. Lessons include: translations of exponential functionstransformations of exponential functionsgraphing exponential functionsdomain and range of exponential functionsintercepts and end behavior of exponential functionsincreasing
Preview of Different Types of Functions | Name That Function | Function Characteristics

Different Types of Functions | Name That Function | Function Characteristics

Different Types of Functions | Name That Function | Function Characteristics Looking for a way to organize your functions? These function templates are perfect for students to keep track of each function they learn about. Different Types of Functions: Linear, Absolute Value, Quadratic, Cubic, Square Root, Power, and Exponential Students can analyze each function by creating a graph and table. Students can identify x- and y-intercepts, minimum and maximum, domain and range (interval and inequali
Preview of Cubic and Cube Root Transformations Foldable (INB)

Cubic and Cube Root Transformations Foldable (INB)

With this resource you will receive a foldable that is great for INB that covers the transformations of cubic and cube root functions. This is intended to be used without a calculator and instead using patterns. Students will create tables so they can graph the functions and see how the transformed from the parent. Transformations include a, h, and k. Students will also find domain, range, the inflection point, state whether it is increasing or decreasing, and transformations. Included with
Preview of Polynomial Functions - Notes, Activities, and Assessments

Polynomial Functions - Notes, Activities, and Assessments

Growing Bundle: Polynomial Notes & Activities | Algebra 2, Pre-Calculus, College Algebra Make polynomial functions engaging, clear, and unforgettable with this growing bundle of notes, worksheets, games, and digital activities! Designed for Algebra 2, Pre-Calculus, and College Algebra, this resource is perfect for building a deep understanding of polynomial functions through structured notes and interactive learning. Topics Covered: Even and Odd Degree Even and Odd Functions Multi
Preview of Pre-Calculus | Flipped Classroom Guided Notes & Video | Graph Characteristics

Pre-Calculus | Flipped Classroom Guided Notes & Video | Graph Characteristics

Have you ever thought about implementing a flipped classroom? I have found it to be SO effective in my own classroom! Students watch the video and fill in the guided notes for their "homework", then you can use class time to work on whatever assignment or activity you wish. Students won't be using their phones to do the assignments for them since they will be doing it right in front of you! This is a Pre-Calculus or Algebra lesson on sketching graphs and finding domain, range, and increasing, de
Preview of Functions and their Properties Digital plus Printable

Functions and their Properties Digital plus Printable

Created by
Joan Kessler
Are you looking for an end of unit digital assignment or assessment for PreCalculus Unit 1 ? This resource works very well with Unit 1 Functions and Graphs or for any time just to see what your students really know about functions. This NO PREP, self-grading assignment or assessment has 25 multiple choice questions and will challenge even your best students. Use as a review or assessment. Both Digital and Printable versions included. Printable version is free response. Topics include
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