Swap x and y, solve for the new output and use inverse notation. The input-output diagram shows how inverse functions undo each other.
Learn inverse functions with a visual guide to reversing inputs and outputs, the horizontal line test, domain and range swaps, and reflections across y=x. Follow a worked linear inverse, verify both compositions, and see why x² needs a restricted domain before choosing the square-root branch. Save for algebra and AP Precalculus revision, then explore the matching NUM8ERS inverse functions guide.
Inverse Functions Worksheet With Answers
Read about how I teach my high school students about inverse functions. Start by inverting coordinates to teach inverse functions. Notice the geometric connection with the inverse as the reflection over the line y=x. Multiple representations are explored: tables, graphs and equations. Blog post by Mathberry Lane
Teach Inverse Functions with this easy hand-drawn algebra infographic! Students learn how an inverse function undoes the original function using y = f⁻¹(x), with key rules like f(f⁻¹(x)) = x and f⁻¹(f(x)) = x. Includes steps for finding an inverse, swapping x and y, solving for y, graph reflection over y = x, examples, and real-life uses. Perfect for high school algebra, homeschool lessons, classroom anchor charts, functions practice, and quick revision. Save this pin to help students understand inverse functions, input-output relationships, and graphing with confidence. #InverseFunction #Functions #AlgebraBasics #MathForKids #MathEducation #HighSchoolMath #TeachingMath #Homeschooling #MathAnchorChart #StudyTips
This flexible, standards-aligned bundle includes three engaging versions for digital and print learning: 💻 Google Slides™ Activity – Students determine the inverse function of the function given. 🌐 Boom Cards™ Deck – A 12-card, self-checking deck where students select the function that correctly represents the inverse of a given function. Includes equations, tables, and function pairs for varied practice—auto-graded and no prep! 🃏 Matching Task Card Activity – Students complete 12 multiple-choice task cards, matching each function to its inverse and recording answers on a response sheet. This bundle helps students make meaningful connections between equations, tables, and graphs, while reinforcing the concept that inverse functions “undo” each other. All answer keys included!
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 writing linear functions from a graph. They should have also already learned composition of functions.This resource also includes guided notes on how to find inverse functions algebraically and how to confirm functions are inverses by composition.You may also be interested in:Piece 'Em Up - Piecewise
interactive notes include: *warmup, prerequisite review, exit ticket *1 day lesson *diverse set of functions to find inverse - including exponents, fractions and x&y on same side of equation **5 student pages** **answer key included** College Readiness Standard: 8.5 - Recognize, analyze and interpret inverse functions. This is a great addition to the Function Composition Unit: http://www.teacherspayteachers.com/Product/Function-Composition-Student-Notes-Packet This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported License.
Great activity for inverse function graphs! www.commoncorefun.com
Students identify inverse functions in this fun puzzle that comes in both printable PDF and digital in Google Slides. Great review of inverse functions.
Are you looking for a fun and engaging way to have your students practice finding an inverse for a function? This paper chain activity is exactly what you need!In this scavenger hunt style activity, students will create a paper chain. Students will practice finding the inverse of functions. This activity includes linear, powers, radicals, and rational functions. Students will answer a total of 16 questions.How does the paper chain activity work?This activity has 16 problems.Students start on Strip A that says "START" and answer it.They look on the other strips to find where that answer is located. It could be anywhere on the remaining 15 problems.Once they find it, they answer the question that is on that strip.They will then connect the second strip to Strip A to create a paper chain.The
Description: Clear and easy Mathematics handwritten notes for students. These notes help in understanding important math concepts, formulas, and problem-solving methods in a simple way. Perfect for school students, exam preparation, and quick revision. Visual diagrams and step-by-step explanations make learning mathematics easier and more interesting. Save this pin 📌 for quick revision and concept clarity! 🔖 Prepared by: @mwharshit #MathematicsNotes #StudyNotes #MathLearning #MathRevision #MathConcepts #MathFormula #StudentNotes #StudyMaterial #EducationNotes #HandwrittenNotes #VisualNotes #ExamPreparation #SchoolNotes #studysmart. 📚✏️