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Basic Inverse Functions

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Preview of Test on Functions: Basic Operations, Composite, Inverse

Test on Functions: Basic Operations, Composite, Inverse

Created by
Jonathan Over
Ten Question Assessment with one bonus question. Topics include inverse, composite, operations on functions. No graphing. Includes error analysis as well as worded responses. All multiple choice. Higher level.
Preview of PROGRAMMING PRECALCULUS IN TI-BASIC CH. 12 - INVERSE AND EXPONENTIAL FUNCTIONS

PROGRAMMING PRECALCULUS IN TI-BASIC CH. 12 - INVERSE AND EXPONENTIAL FUNCTIONS

This is the 12th chapter of a textbook that fully integrates computer programming (TI-84 BASIC) with precalculus objectives. Both disciplines are fully explained and accompanied by a robust selection of exercises. This course can be taught with a lab component in which students work in groups; or students can learn independently by reading and following the examples. While Chapters 1 - 11 are helpful; they are not a prerequisite. Students will quickly pick up on programming basics from the conte
Preview of Inverse Functions Basics - Notes and Practice Worksheet

Inverse Functions Basics - Notes and Practice Worksheet

Created by
Math with CC
Students will be able to graph the inverse of a given function by swapping the x and y-values. Students will be able to graph the inverse of a given function by reflecting it over the line y=x. Students will be able to write the inverse given a function using algebra. This does not including restricting the domain, and should be used for lower level algebra 2 classes, or as an introduction to inverse functions. Students will be able to give an ordered pair on f-inverse if given an ordered pair
Preview of Inverse Functions - Discovery Activity and Notes

Inverse Functions - Discovery Activity and Notes

Do your students really understand inverse functions? To help students with this concept, they can investigate and discover it by using the basic understanding of an inverse and then apply it to finding the equation of a function's inverse. This discovery investigation will show students that the graphs of inverse functions are a reflection over the line y=x. Students will also identify that not all functions are invertible. Students should have familiarity with graphing linear functions and w
Preview of Algebra 2 - Unit 6: Exponential and Logarithmic Functions

Algebra 2 - Unit 6: Exponential and Logarithmic Functions

Algebra 2 / Algebra II / 11th Grade Math USA This resource includes:-10 Presentations -10 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 6 – Exponential & Logarithmic Functions6.1 Review of exponential growth & decay from Algebra 1 (percent rate, growth factor) 6.2 Exponential functions parameters and graphs 6.3 Geometric sequences & series as exponential models (sigma notation optional) 6.4 Logarithms as inverses of exponentials; notation and basic evaluation 6.5
Preview of 12th Grade Precalculus - Unit 3 – Exponential, Logarithmic, and Power Functions

12th Grade Precalculus - Unit 3 – Exponential, Logarithmic, and Power Functions

12th Grade PreCalculus USA This resource includes:-9 Presentations -9 Worksheets with Solutions -1 Reference Sheet -1 Unit Test with Solutions Unit 3 – Exponential, Logarithmic & Power Functions3.1 Exponential functions review: continuous growth/decay, base e 3.2 Graphs and transformations of exponential functions; interpreting parameters in context 3.3 Logarithms as inverses of exponentials; notation, evaluation, and basic properties 3.4 Graphs and transformations of logarithmic functions; doma
Preview of Evaluating Inverse Trigonometric Functions CLUE GAME

Evaluating Inverse Trigonometric Functions CLUE GAME

Created by
Mrs Owen
In this CLUE GAME, students will practice solving inverse trig problems (including compositions of inverse trig) to solve a mystery. Students will love practicing a basic skill, getting feedback on their answers, all while discovering what prisoner has escaped in town, where they are hiding, and what they stole while around town.
Preview of Basic Definite Integrals

Basic Definite Integrals

Basic Definite Integrals task card activity provides students with a chance to find antiderivatives that do not require any u-substitution. This low prep activity includes 16 problems that are all definite integrals and will give students practice with basic integration and the fundamental theorem of calculus. Basic definite integrals task card activity includes 16 task cards and are designed to easily split up and differentiate the activity depending on student needs. Task cards #1 – 8 all
Preview of Verifying Inverse Functions (Bidirectional Composition) | Turnkey Sub Plans

Verifying Inverse Functions (Bidirectional Composition) | Turnkey Sub Plans

Verifying Inverse Functions (Bidirectional Composition) | Turnkey Sub PlansTeach Inverse Function Verification with expert-level confidence—even if your degree isn't in Math.Say goodbye to math anxiety and late-night lesson prep. This fully engineered, high-rigor resource is designed to teach itself. It transitions students smoothly from basic inverse concepts to executing complex, bidirectional function compositions (f(g(x)) and g(f(x))) to formally prove inverse relationships. Perfect for out-
Preview of Solving Basic Trig Equations Color Worksheet

Solving Basic Trig Equations Color Worksheet

Created by
Aric Thomas
Solve trig equations like sin θ = 1/2 or cos θ = -√3/2 on [0, 2π) by reading off all unit-circle solutions in the correct quadrants. Standards: CCSS HSF-TF.B.7 (use inverse functions and the unit circle to solve trig equations). Each problem matches an answer in the design grid above. As students color in their answers, a symmetrical pattern appears. If the pattern looks right, the work is right — easy for students to catch mistakes and easy for you to spot-check at a glance. Works for classwork
Preview of Comprehensive Functions Workbook – Transformations, Inverses, Graphs & More

Comprehensive Functions Workbook – Transformations, Inverses, Graphs & More

Created by
Mr Ouis
This workbook gives your students complete, structured practice with all the major function concepts in Algebra 2 and Pre-Calculus (Grades 10–12). Organized into 12 clear chapters, it begins with function basics, graph features, and transformations, and progresses into piecewise-defined functions, inverse functions, composition and decomposition, and operations on functions. Students also work with polynomial, rational, radical, exponential, and logarithmic functions, finishing with real-wo
Preview of Inverse Relations and Functions Worksheet | Algebra 2 | Bilingual

Inverse Relations and Functions Worksheet | Algebra 2 | Bilingual

Created by
Profesora Ortiz
Master Inverse Relations and Functions with this Scaffolded Bilingual Worksheet!Are your Algebra 2 or Pre-Calculus students working on switching inputs and outputs, or learning to verify inverses algebraically? This bilingual (English & Spanish) worksheet guides students step-by-step from foundational true/false properties to linear reversals, radical functions, visual reflections, and composition proofs! 🔍 What’s Included?Part 1: Basic Concepts 🧠 – A rapid True/False conceptual check focusin
Preview of Inverse Functions Worksheet | Algebra 2 & Pre-Calculus | Bilingual

Inverse Functions Worksheet | Algebra 2 & Pre-Calculus | Bilingual

Created by
Profesora Ortiz
Master Inverse Functions with this Comprehensive Bilingual Worksheet!Are your Algebra 2 or Pre-Calculus students struggling to calculate inverse functions or execute algebraic verification? Do they forget to check if a function is one-to-one? This bilingual (English & Spanish) worksheet guides students step-by-step from foundational graphic properties to operational equations, composition proofs, and domain restrictions! 🔍 What’s Included?Part 1: Basic Concepts 🧠 – A foundational review secti
Preview of ExpLog.4 Logarithm Basics lesson with guided video explanations on each slide

ExpLog.4 Logarithm Basics lesson with guided video explanations on each slide

This is a quick lesson on the basics of logarithms with video explanations included on every slide. It is designed for self-paced, independent use. It is perfect for homeschool learners, flipped classrooms, and sub-plans. We first look at logarithms as the inverse of exponential functions, and what is needed to be able to solve for the exponent. We learn how to convert between logarithmic and exponential form, compute special logarithms, compute more general logarithms with the change of base fo
Preview of Basic Integration Calculus

Basic Integration Calculus

Basic Integration Calculus task card activity provides students with a chance to find antiderivatives that do not require any u-substitution. All problems are indefinite integrals and will give students practice with basic integral rules. Basic integration calculus task card activity includes 16 task cards and are designed to easily split up and differentiate the activity depending on student needs. Task cards #1 – 8 all have antiderivatives that are algebraic functions. Task cards #9 – 16 a
Preview of Precalculus Functions Unit Tests & Cumulative Reviews

Precalculus Functions Unit Tests & Cumulative Reviews

Created by
Mr Johnney
A no-prep assessment bundle for Grades 11–12 (Honors Precalculus / AP Precalculus) that cleanly measures everything in your functions & graphs strand. You get three large cumulative tests mixing multiple-choice and free-response, each paired with keyed review pages for targeted reteach and spiral practice—plus concise answer keys. Coverage matches how you teach: transformations and inverse/composition basics; polynomial zeros, multiplicity, and end behavior; rational features (holes vs. ver
Preview of Inverse Functions & Inverse Relations (Notes & Worksheet w/ Answer Key)

Inverse Functions & Inverse Relations (Notes & Worksheet w/ Answer Key)

- A page of Class Notes regarding function and relation inverses , also including the idea of a COMPOSITE FUNCTION (A composition of inverse functions). This topic is designed to be presented after the completion of certain Algebra 1 and/or Algebra 2 topics. -- A 2-page worksheet of practice (With detailed answer key). See "View Preview" to view page one of this worksheet. **Note: For this topic, a modest to strong background knowledge of certain Algebra 1 and 2 concepts is already implied, such
Preview of Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
Build rock-solid understanding of inverse trigonometric functions without extra prep. This print-and-go workbook features 120 carefully sequenced exercises organized into 12 scaffolded chapters, ideal for Grades 10–12 (Algebra 2, Pre-Calculus, Calculus I) and Intro College. A complete answer key is included for every problem to support quick grading and independent practice. What’s InsideInverse Trig Basics — principal values, domains/ranges, notationGraphs & Properties — shapes,
Preview of Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
Give your students a clear, confidence-building path through inverse trigonometric functions—from definitions and graphs to calculus applications—without extra prep. This print-and-go workbook features 120 carefully sequenced exercises organized into 12 scaffolded chapters, and includes a complete Answer Key for fast grading. Designed for Grades 10–12 (Algebra 2, Pre-Calculus, Calculus I) and Intro College. What’s Inside12-Chapter Pathway: Inverse Trig Basics; Graphs & Properties; E
Preview of Inverse Trigonometric Functions Workbook: 120 Exercises + Key

Inverse Trigonometric Functions Workbook: 120 Exercises + Key

Created by
Mr Ouis
Give your students a clear, confidence-building path through inverse trigonometric functions—from definitions and graphs to calculus applications—without extra prep. This print-and-go workbook features 120 carefully sequenced exercises organized into 12 scaffolded chapters and a full Answer Key, designed for Grades 10–12 (Algebra 2, Pre-Calculus, Calculus I) and Intro College. What’s Inside12 Chapter Pathway:1. Inverse Trig Basics (principal values, domains/ranges) • 2) Graphs & Proper
Preview of Calculus - Basic Derivatives Scavenger Hunt

Calculus - Basic Derivatives Scavenger Hunt

This set of cards can be used to review the various concepts related differentiating different types of functions that include sums, differences, products, quotients, composite function, and trigonometric functions. There are no functions that involve exponentials, logarithms, or inverse functions. This would be a great activity for students in Calculus and AP Calculus classes. Each card has a problem written in black and an answer to another problem (in the magnifying glass). By using the 10 c
Preview of Differentiation Bundle: Composite, Implicit, and Inverse Functions

Differentiation Bundle: Composite, Implicit, and Inverse Functions

The third unit in AP Calculus is “Differentiation: Composite, Implicit, and Inverse Functions.” These lessons offer students a basic understanding of the Chain Rule, Implicit Differentiation, Inverse Functions, Inverse Trig Functions, and Higher Order Derivatives. Also, students will practice solving several types of questions that have been asked on previous AP exams. Students are exposed to derivations of many of the derivatives such as arctanx, but the emphasis is on practice in problem solvi
Preview of Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Inverse Trigonometric Functions Workbook – 120 Exercises + Answer Key

Created by
Mr Ouis
Build rock-solid understanding of inverse trig with this print-and-go workbook. Students progress through 120 carefully sequenced exercises across 12 scaffolded chapters, from definitions and graphs to calculus applications and mixed problems. Designed for Grades 10–12 (Algebra 2 / Pre-Calculus / Calculus I) and Intro College, with a complete answer key for every problem. What’s InsideChapter Path (12 units):1. Inverse Trig Basics (domains, ranges, principal values) 2. Graphs & Propert
Preview of Grades 6–12 Math Solving Equations, Inverse Operations & Functions Weekly

Grades 6–12 Math Solving Equations, Inverse Operations & Functions Weekly

Unlock the secrets of solving equations, inverse operations, and functions with our comprehensive Grades 6–12 Math Solving Equations, Inverse Operations & Functions Weekly resource! This engaging product includes a Guided Worksheet that provides step-by-step instructions, a Practice Worksheet filled with diverse problems to reinforce learning, an Assessment to evaluate student understanding, and an Exit Ticket for quick feedback. Designed to enhance students' problem-solving skills, this resourc
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