Basic Function Tables
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Sine & Cosine Functions Matching Activity | Graphs, Equations, Tables & Words
Help your students master the behavior of sine and cosine functions with this engaging, hands-on matching activity! Students will connect four representations of sinusoidal functions: graphs, equations, verbal descriptions, and tables of values. What’s Included: 12 sinusoidal functions, each with: A graph A sine or cosine equation A table of values A verbal description Cut-and-match card sets Blank student answer sheet Teacher answer key Flexible Classroom Use: Stations or group work
9th - 12th
Algebra 2, Calculus, PreCalculus
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
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-BF.B.5
Also included in: bundle of logarithm function sketching graphing
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
11th - 12th
Algebra 2, Graphing, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.B.5
, HSF-IF.C.7
+2
Also included in: bundle of logarithm function sketching graphing
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
11th - 12th, Higher Education
Calculus, Math Test Prep, PreCalculus
CCSS
MP6
Mega Practice Set – Graphs of Exponential Functions (AP Precalculus)
This Mega Practice Set is a collection of 32 multiple-choice exercises designed to help students master the behavior and graphing properties of exponential functions. Perfect for AP Precalculus classes, tutoring sessions, review days, and targeted skills practice. This PDF is organized into three levels of difficulty: Level 1 – Exponential Growth/Decay & LimitsStudents determine whether a function represents growth or decay, analyze end behavior, and calculate limits Level 2 – Table Interpre
10th - 12th, Higher Education
Calculus, Graphing, PreCalculus
Inverse Functions Worksheet
Students use compositions of functions to verify inverse functions, match graphs of functions with the graphs of their inverse functions, show algebraiacally that one function is, in fact, the inverse of the other, use tables of values to check if a function has an inverse, evaluate visually whether a functions has an inverse based on the graph, graph functions on a graphing calculator to visually evaluate whether it has an inverse, calculate inverses of functions and graph the orginal function
10th - 12th
Algebra 2, PreCalculus
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
11th
Algebra 2, PreCalculus
CCSS
HSF-IF.A.1
, HSF-IF.A.2
, HSF-IF.B.5
+1
Also included in: bundle of logarithm function sketching graphing
Function Composition - CST ACT SAT Test Practice
These 10 multiple choice problems cover function composition using formulas, tables and graphs. They serve as excellent practice for the SAT, ACT or your state's standardized achievement exam. Each question has 5 choices, and at least 1 trap answer. A great way to differentiate this activity is to have higher skilled students identify each trap answer and justify.
Buy the functions packet or the composition bundle to get multiple activities for one low price!
9th - 12th, Adult Education, Higher Education
Algebra 2, Math Test Prep, PreCalculus
Instantaneous Rate of Change | Answer Key
This worksheet focuses on estimating and calculating the instantaneous rate of change of functions at specific points. Students practice finding slopes of tangent lines using limits, difference quotients, and interpreting graphs or tables to approximate instantaneous rates. Problems include polynomial and quadratic functions. Ideal for deepening understanding of derivatives and preparing for calculus concepts.
9th - 12th, Higher Education
Calculus, PreCalculus
Basic Antiderivative/Indefinite Integral (Power Rule and Basic Trig) Assignment
This assignment covers basic antiderivatives/indefinite integrals using the power rule and the six basic trig functions. It also includes a review of motion graphically. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th, Higher Education
Calculus, PreCalculus
Derivative (Power Rule/Basic Trig) Assignment
The main focus of this assignment is finding the derivatives of functions using the power rule (and the six basic trig functions). This assignment also reviews finding limits of piece-wise functions and continuity. There is a note sheet that precedes this assignment found in the Texmathlete TPT store. Videos for the notes can be found on the FREE Calculus Slides and Videos for You and Your Students slides in the Texmathlete TPT store.
9th - 12th
Calculus, PreCalculus
Introduction to Limits Day 1 AP Calculus AB BC
AP Calculus AB or BC worksheet introducing the idea of limits. I use this on the very first day of the Limits Unit. Students learn about limits using tables and graphs, and distinguish limit notation from function notation. This worksheet could also be used in Precalculus at the end of the year.
9th - 12th
Calculus, Graphing, PreCalculus
AP® PreCalculus - Unit 3: Trigonometric and Polar Functions
Unit 3: Trigonometric & Polar Functions Topic 3.1: Periodic Phenomena & Intro to Trig3.1 Angle measurement (degrees vs radians) 3.2 Arc length 3.3 Unit circle structure 3.4 Definition of sine & cosine 3.5 Sine & cosine values on the unit circle 3.6 Symmetry & periodicity 3.7 Tangent and reciprocal trig functions Topic 3.2: Trigonometric Functions3.8 Graphing sine & cosine 3.9 Amplitude & midline 3.10 Period & frequency 3.11 Phase shift 3.12 Putting together all transformations 3.13 Graphing tang
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
Rational Functions Graphs and Key Properties with Asymptotes Digital and Print
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
10th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
HSF-IF.C.7d
Also included in: Algebra 2 Digital MEGA Bundle plus Printables
Polynomial Functions End Behavior FUN Notes Doodle Pages
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
10th - 12th
Algebra 2, PreCalculus
CCSS
HSF-IF.C.7c
, HSF-IF.C.8
AP® PreCalculus - Unit 1: Polynomial and Rational Functions
Topics Included: Unit 1: Polynomial & Rational FunctionsTopic 1.1: Patterns & operations with sequences1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns Topic 1.2: Polynomial Functions & Operations1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
AP® PreCalculus - Unit 2: Exponential & Logarithmic Functions
Unit 2: Exponential & Logarithmic FunctionsTopic 2.1: Exponential Functions2.1 Structure of exponential functions 2.2 Exponential growth & decay 2.3 Growth factor & decay factor 2.4 Continuous growth (Euler’s number) 2.5 Applications of exponential modeling 2.6 Transformations of exponential functions 2.7 Exponential equations Topic 2.2: Logarithmic Functions2.8 Introduction to logarithms 2.9 Properties of logs (product, quotient, power) 2.10 Change of base formula 2.11 Logarithmic models 2.12 L
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
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
12th, Higher Education
PreCalculus
Also included in: AP® PreCalculus - Full Course Curriculum
End Behavior of Rational Functions Notes and Matching AP PreCalculus
Give your PreCalculus and AP® Precalculus students a fun and engaging way to practice finding End Behaviors of Rational Function with these two unique learning activities. First is an interactive foldable with explanations and examples of the 4 Cases of Rational Function End Behavior including Oblique Asymptotes and Asymptotes which mimic Polynomials. The second part of this resource is a matching activity. Students determine the end behavior of 10 Rational Functions and match end behavio
10th - 12th
Math, PreCalculus
CCSS
HSA-SSE.A.2
, HSA-APR.B.3
, HSA-APR.D.6
+2
Also included in: AP PreCalculus Unit 1 Polynomial and Rational Functions Activity Bundle
Rational Functions - Find the Slant (Oblique) Asymptote Triple Match Activity
This Rational Functions - Find the Slant (Oblique) Asymptote Triple Match Activity will engage your students while as they match Rational Functions with the Equations of the Oblique (slant) asymptotes, and the graph of the function. Included in this activity is a Guided notes page explaining when a rational function with have an oblique asymptote and a step by step example showing long division to find the asymptote. There are 12 Function cards, 12 Graph cards, and 12 cards with the equati
10th - 12th
PreCalculus
CCSS
HSF-IF.B.4
, HSF-IF.C.7
, HSF-IF.C.7d
Graphs of Polar Functions Matching plus Riddle
Challenging and Fun! This is what students will tell you after completing this assignment on Graphs of Polar Functions. Students will match the equations of 10 Polar functions with their graphs. They fill in the table on the bottom of the page revealing the answer to the riddle, making this assignment self-checking. Graphs include limacons, lemniscates, polar roses, cardioids, and more. Many numbers are similar making this a challenging and engaging activity. There are 12 polar graph choices,
11th - 12th
PreCalculus
Graphing Trig Functions Review Worksheet Digital Form Task Card Precalculus
Ignite Graphing Trig Functions Mastery with "Two Truths & a Lie"! Students graph 8 Trig functions then use critical thinking to determine 10 lies in the "Two Truths & a Lie" section. Say goodbye to tedious worksheets and hello to engaging exploration with this dynamic "Two Truths & a Lie" activity, designed to solidify your students' understanding of graphing trigonometric functions. What's Inside?In-Depth Analysis: Students will dissect 8 meticulously crafted trigonometric graphs and equa
11th - 12th, Higher Education
Algebra 2, Graphing, PreCalculus
CCSS
HSF-TF.A.2
Polar Functions: The Queen's Rose Garden
A fun way to practice graphing polar functions that will also give you something pretty to decorate your classroom with! This is also designed to get students reasoning and explaining mathematically. In order to complete it, they need to explain why it is impossible to create a 6-petaled rose using the standard formulas (or come up with their own out-of-the-box formula!) If you're teaching AP Precalculus, this goes with lesson 3.14: Polar Function Graphs. I used this immediately after going thro
10th - 12th
Graphing, PreCalculus
CCSS
MP3
Functions: Domain, Range and Composition (Algebra 2) - Core Workbook
A complete, ready-to-use Functions Unit by No Limit Math, designed to help students understand and master the essential concepts of domain, range, transformations, and composition of functions. Each page combines clarity, structure, and rigor, perfect for Algebra 2 and Pre-Calculus classrooms. What’s Included Two Student Versions Cream Edition (ideal for projection or digital teaching) Black & White Edition (printer-friendly, ink saver) Complete Teacher Answer Key, aligned page by page Clear
9th - 12th
Algebra, Algebra 2, PreCalculus
CCSS
8.F.A.1
, HSF-IF.A.1
, HSF-IF.A.2
+7
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