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Function and Not a Function

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Preview of Rational Functions Graphs and Key Properties with Asymptotes Digital and Print

Rational Functions Graphs and Key Properties with Asymptotes Digital and Print

Created by
Joan Kessler
This activity for Rational Functions is an engaging way have your students practice graphing and determine the Characteristics, Attributes, and Key Properties of Rational Functions in a unique graphic organizer format. Students determine the: domain and rangehorizontal asymptotesvertical asymptotes holesx – interceptsy-interceptsslant asymptotes when applicable for 11 problems. I have included slant (oblique) asymptotes only on the last three slides. These can be deleted if that topic is
Preview of Evaluating Inverse Trig Functions Foldable Organizer

Evaluating Inverse Trig Functions Foldable Organizer

Created by
Joan Kessler
This Evaluating Inverse Trig Functions Foldable Organizer will help your students grasp the concepts and also get practice with Composite Inverse Trig Functions. Your students fill-in the properties and then practice 16 well chosen representative problems. Also included are 6 completed examples for reference. Problems include straightforward problems such as sin_inverse(1/2) and more complex problems like sin(sin_inverse of π/2) or arcsin(sin(3π)). Both notations, sin^-1 and arcsin for i
Preview of Exponential Function Manipulation AP Precalculus 2.4 Self-Checking Activity

Exponential Function Manipulation AP Precalculus 2.4 Self-Checking Activity

Students practice the 2.4 Exponential Function Manipulation lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Paint Path Activity! Printable worksheet included for flexibility in your classroom! ⭐️ACTIVITY SKILLS:2.4A Rewrite exponential expressions in equivalent formsNote: Students must be familiar with ALL exponential properties⭐️WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedMultiple Choice: #1
Preview of Limit of Functions

Limit of Functions

Chapter: LimitsThis chapter introduces the concept of limits, which form the foundation of calculus. Limits describe how a function behaves as the input approaches a particular value, even if the function is not defined at that value. Understanding limits is essential for studying continuity, derivatives, and integrals. Students will learn to evaluate limits using graphs, tables, algebraic techniques, and analytical reasoning. The chapter covers one-sided limits, limits at infinity, and infin
Preview of Rational Functions Graphs and Key Features and Properties

Rational Functions Graphs and Key Features and Properties

Created by
Joan Kessler
Your students will practice determining the Key Properties of Rational Functions and Their Graphs. There are 11 problems for your students to solve plus a blank problem template for you to customize or create an assessment or homework. Students graph the function and find the: domainrangehorizontal asymptotesvertical asymptotesholesx – interceptsy-interceptsslant asymptotes when applicable. I have included slant (oblique) asymptotes on two problems. These can be omitted if that topic is not
Preview of Graphing Logarithmic Functions Bundle | Worksheets & Activities | Transformation

Graphing Logarithmic Functions Bundle | Worksheets & Activities | Transformation

Graphing Logarithmic Functions Bundle | Worksheets & Activities | Transformations, Asymptotes, Domain & Range | Algebra 2 / Precalculus Teach graphing logarithmic functions with confidence using this step-by-step worksheet bundle! Designed for Algebra 2 and Precalculus students, this resource helps learners understand transformations, asymptotes, and domain and range.This bundle includes structured worksheets that guide students through:Graphing parent function Identifying vertical asymptotesUnd
Preview of Unit 1 AP Precalculus Polynomial and Rational Functions Review Activities

Unit 1 AP Precalculus Polynomial and Rational Functions Review Activities

Students practice reviewing Unit 1 Polynomial and Rational Functions from AP® Precalculus with these TWO fun, NO PREP, self-checking digital activities! Printable task cards available for flexibility in your classroom! WHAT'S INCLUDED:1.1-1.6 Level Up Game Review Activity (using Google Sheets) - 20 questions1.7-1.14 Mystery Picture Reveal Activity (using Google Sheets) - 20 questionsPrintable Task CardsAnswer Keys IncludedNote: The two activities are a mix of both multiple choice and short a
Preview of Polynomial Functions End Behavior FUN Notes Doodle Pages

Polynomial Functions End Behavior FUN Notes Doodle Pages

Created by
Joan Kessler
Your students will learn about End Behavior of Polynomials Functions with these FUN Notes, Doodle Pages, guided notes and practice in an engaging format. When students are done with the examples and practice, they can show their creative side and embellish the notes with colors and doodles. On the first page your students are introduced to End Behavior based upon the leading term's power and sign. They can also analyze the graphs of the four polynomials. The rules are organized and include
Preview of AP® PreCalculus - Unit 4: Functions and Modelling

AP® PreCalculus - Unit 4: Functions and Modelling

Unit 4: Functions & ModelingTopic 1: Function Characteristics4.1 Function notation & structure 4.2 Average rate of change 4.3 Domain & range 4.4 Composition of functions 4.5 Inverse functions 4.6 Even & odd functions Topic 2: Transformations of Functions4.7 Vertical & horizontal shifts 4.8 Reflections 4.9 Stretching & compressing 4.10 Combined transformations 4.11 Piecewise functions Topic 3: Function Families & Modeling4.12 Linear vs nonlinear models 4.13 Polynomial models 4.14 Rational models
Preview of Exponential Functions AP Precalculus 2.3 Self-Checking Activity

Exponential Functions AP Precalculus 2.3 Self-Checking Activity

Students practice the 2.3 Exponential Functions lesson from AP® Precalculus with this fun, NO PREP, self-checking digital Path Activity! Printable worksheet included for flexibility in your classroom! ACTIVITY SKILLS:2.4A Identify key characteristics of exponential functions - increasing/decreasing behavior, concavity, end behavior, etc.WHAT'S INCLUDED:Digital Self-Checking Activity using Google Sheets™ (12 Questions)Printable WorksheetAnswer Keys IncludedAP® is a registered trademark of the C
Preview of Precalculus Exam Reviews/Calculus Prerequisite Reviews

Precalculus Exam Reviews/Calculus Prerequisite Reviews

This is a set of three review sheets that are designed to be used at the beginning of Calculus course or as exam reviews for Algebra 2 or Precalculus. They could also be used for SAT or ACT prep, college entrance exam review or for any purpose you wish.  Included are reviews for: Exponents, radicals and functionsPolynomial functions and manipulationsThe unit circle and trigonometric functionsThe first two have optional answer banks that you can give students to use as they work out the review p
Preview of sketching logarithmic graphs ,logarithmic functions - graph , algebra 2

sketching logarithmic graphs ,logarithmic functions - graph , algebra 2

unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide)This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high sch
Preview of logarithmic growth curve-  logarithmic functions - graph , algebra 2

logarithmic growth curve- logarithmic functions - graph , algebra 2

unit 7 exponential and logarithmic functions - graph , algebra 2Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide)This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high sch
Preview of Graphing the Sine and Cosine and Properties Notes Organizers

Graphing the Sine and Cosine and Properties Notes Organizers

Created by
Joan Kessler
Graphing the Sine and Cosine Functions using their key properties could not be easier for your students to learn to do by hand than with this versatile and engaging resource with notes and step by step graphic organizers. Included in the Lesson: Illustrated Guided Notes on graphing the Sine and Cosine by hand using the 5 Point Method for both the Sine and the Cosine. The notes also include formulas for the properties, including Amplitude, Phase Shift, Vertical Shift, and Period. 16 graphic
Preview of how to graph log functions on ti-84 plus- Comparing TI-84 Calculator and Desmos

how to graph log functions on ti-84 plus- Comparing TI-84 Calculator and Desmos

TI-84 vs Desmos | Graphing Logarithmic Functions, Domain & Asymptotes (Algebra 2)This resource helps students compare graphing logarithmic functions using a TI-84 calculator and Desmos, building both conceptual understanding and exam-ready skills. Using f(x)=log⁡(2x+6) students clearly see how domain restrictions and vertical asymptotes appear differently on each tool. Students will: Graph logarithmic functions on a TI-84 Graph the same function using Desmos Compare how each tool shows d
Preview of AP PreCalculus Unit 3 Trig Functions Activity Bundle

AP PreCalculus Unit 3 Trig Functions Activity Bundle

Created by
Joan Kessler
Are you looking for engaging interactive activities to reinforce your AP® PreCalculus guided notes and lessons for Unit 3: Trigonometric Functions? Teaching a new course is never easy and can be a challenge. Unit 3 should take between 8 and 11 weeks and is the last Unit included on the AP® Exam. Whether you are reorganizing your old PreCalculus notes to fit the new framework, or are using Calc Medic®, Flipped Math® (aka the Algebros) notes, or some other note based curriculum, your student
Preview of precalculus logarithm graph worksheet, domain and asymptotes , end behaviour

precalculus logarithm graph worksheet, domain and asymptotes , end behaviour

Logarithmic Functions Graphing – Step-by-Step Sketching, Domain, Asymptotes & End Behavior (Student-Friendly Guide) This resource helps students understand and sketch logarithmic functions step by step, even at a basic or struggling level. It includes clear explanations in simple language to analyze logarithmic graphs: number of branches, increasing or decreasing behavior, inverse functions, and end behavior. Perfect for high school math, precalculus, algebra 2, and remedial or support c
Preview of AP PreCalculus 90 Word Wall Bulletin Board Posters Anchor Charts

AP PreCalculus 90 Word Wall Bulletin Board Posters Anchor Charts

Created by
Joan Kessler
This AP® PreCalculus Vocabulary Word Wall or Anchor Charts will help your students grasp essential concepts and terminology with colorful visual topic posters. Use as a Word Wall or on a Bulletin Board. Let your classroom walls engage your students and help teach and reinforce important topics. Included are 80 posters with topics for AP PreCalculus with emphasis on visuals and not formulas. The Posters are arranged by unit and the resource also includes 4 Posters which list the topics as d
Preview of Logarithmic Functions Graphing | TI-84 Step-by-Step Guide

Logarithmic Functions Graphing | TI-84 Step-by-Step Guide

Logarithmic Functions Graphing | TI-84 Step-by-Step Guide, Asymptotes, Domain & SketchingThis resource provides clear, step-by-step TI-84 instructions to help students graph logarithmic functions confidently. Designed for Algebra 2 and Precalculus, it is especially helpful for struggling learners, ESL/FLS students, and special education support. Students will learn how to: Enter logarithmic functions correctly on a TI-84 calculator Set an effective window to see the graph clearly Identify
Preview of Limits on Tables Practice Worksheet

Limits on Tables Practice Worksheet

Strengthen your students’ understanding of limits with this focused Calculus worksheet on evaluating limits from tables. In this activity, students analyze numerical data presented in table form to determine the limit of a function as xxx approaches a given value. Students must express each answer using proper limit notation, reinforcing both conceptual understanding and mathematical communication. Skills Reinforced: Interpreting function behavior from a table Identifying one-sided and two-si
Preview of Average Rate of Change Self-Checking Path Activity Digital & Print

Average Rate of Change Self-Checking Path Activity Digital & Print

Engage students in calculating the average rate of change with this fun, NO PREP, self-checking digital Monster Path Activity (print version available)! Students will have fun watching the monster munch its way through the path as they answer each question correctly. Printable worksheet included for students to show their work. ACTIVITY TOPICS:Students will find the average rate of change... given a function, table, or graphfor linear, polynomial, and exponential functionsincluding word prob
Preview of Limits from Graphs plus Notes and HW for Calculus

Limits from Graphs plus Notes and HW for Calculus

Created by
Joan Kessler
This Finding Limits Graphically lesson is designed to give your Calculus students an understanding and fluency of the visual side of limits and will challenge even your best students. What's Included? Guided student notes with four examples. There are two versions, one completed and one left for the students to complete with you in class.24 Task Cards with mostly piecewise continuous functions. Students determine the limits, if they exist, from analyzing the graph. My students found the
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