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.
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
Mathway Inverse Function Algebra
Inverse algebraic functions with a hole punch lesson and free templates to teach inverse functions in algebra 2
Swap x and y, solve for the new output and use inverse notation. The input-output diagram shows how inverse functions undo each other.
Inverse Function Definition Algebra
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 resource is on finding the inverse of linear, quadratic, cubic, and rational functions algebraically. This resource is appropriate for Algebra 2 students.In this resource, there are 2 pages of notes with examples done out, 16 practice problems, and an answer key.
How To Find Inverse Function Algebraically
Students discover inverse functions through graphs, tables, and equations. This lesson ignites great discussions about inverses and what makes them so unique!
Inverse Functions - MathBitsNotebook(A1 - CCSS Math)
Teach Absolute Value Functions with this easy hand-drawn algebra infographic! Students learn how y = |x| measures distance from zero, why outputs are never negative, and how the graph forms a V-shape. Includes key parts like vertex, axis of symmetry, domain, range, x-intercept, y-intercept, table examples, transformations, and real-life uses. Perfect for middle school math, high school algebra, homeschool lessons, classroom anchor charts, functions practice, and quick revision. Save this pin to help students understand absolute value graphs and algebra basics with confidence. #AbsoluteValueFunction #Functions #AlgebraBasics #MathForKids #MathEducation #MiddleSchoolMath #HighSchoolMath #TeachingMath #Homeschooling #StudyTips
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
Teach the Additive Inverse Property with this easy hand-drawn math infographic! Students learn how every number has an opposite that adds with it to make zero using a + (-a) = 0 and (-a) + a = 0, simple examples, and visual number pairs. Perfect for elementary math, middle school pre-algebra, homeschool lessons, math anchor charts, integer practice, and quick revision. Save this pin to make negative numbers and inverse operations easier to understand. #MathForKids #AdditiveInverse #IntegerMath #MathEducation #ElementaryMath #PreAlgebra #TeachingMath #Homeschooling #MathAnchorChart #StudyTips