Inverse of a Function – Graphing & Solving Practice (Algebra 2)

Inverse of a Function – Graphing & Solving Practice (Algebra 2)
Editable | CCSS Aligned | Includes Answer Key

This comprehensive Algebra 2 worksheet offers rigorous practice with inverse functions, covering everything from algebraic solutions to graph interpretation. Perfect for reinforcing or assessing student understanding, this resource includes 60 high-quality problems spread across six structured sections, designed to take approximately 90–120 minutes to complete.

Fully aligned with Common Core State Standards HSF.BF.B.4, this resource helps students master all aspects of inverse functions—solving, verifying, graphing, and interpreting from tables and real-world scenarios. Whether used as a review, homework, in-class guided practice, or test prep, this worksheet is an essential tool for any Algebra 2 classroom.

What’s Included:

Part A – Warm-Up & Vocabulary (10 questions)

• Student-friendly definitions of key terms: inverse function, domain, range, function composition, one-to-one, and more
• Four pre-requisite review questions covering foundational concepts like domain/range and function identification

Part B – Finding Inverses Algebraically (10 questions)

• Includes linear, quadratic (with restrictions), rational, and radical functions
• Reinforces solving for x and expressing inverses in function notation

Part C – Verifying Inverses Using Composition (10 questions)

• Students show algebraically that two functions are inverses by computing f(g(x)) and g(f(x))
• Builds conceptual understanding and algebraic fluency

Part D – Graphing Functions and Their Inverses (10 questions)

• Includes graphing original and inverse functions on the same axes
• Emphasizes reflection over the line y = x
• Designed for visual learners and concept reinforcement

Part E – Reading Inverses from Graphs and Tables (10 questions)

• Students estimate and interpret values of inverse functions using graphical and tabular representations
• Strengthens real-world interpretation and mathematical reasoning

Part F – Mixed Practice and Applications (10 questions)

• Engaging real-life and mathematical problems involving inverse functions
• Includes problems with formulas, models, and inverse reasoning across contexts

Answer Key Included

• Fully worked, easy-to-follow solutions for every question in all six sections

Standards Alignment:

This resource is fully aligned with the Common Core State Standards for Algebra 2:

• HSF.BF.B.4 – Find inverse functions
• HSF.BF.B.4.A – Solve for x in functions and write expressions for inverses
• HSF.BF.B.4.B – Verify inverses using function composition
• HSF.BF.B.4.C – Read inverse values from tables and graphs

Additional Features:

• 100% Editable in Word or Google Docs – Easily adjust problems, formatting, or instructions to suit your students
• Includes a ready-to-print PDF version
• Works in any instructional model: in-person, hybrid, or digital
• Ideal for test prep, homework, classwork, intervention, or sub plans
• No teaching examples—this is focused on practice and mastery

Perfect For:

• Algebra 2 classrooms aligned to CCSS
• Honors Algebra or Pre-Calculus review
• Independent practice or formative assessment
• Teachers needing structured, flexible, and high-quality resources

This worksheet will save you prep time while ensuring your students receive meaningful, challenging practice on one of the most important function concepts in Algebra 2. Fully editable and classroom-tested, it’s ready to fit right into your curriculum.

Terms of Use: This resource is licensed for use by one teacher in one classroom. Please do not share, distribute, or post this resource online. If another teacher would like to use it, please direct them to purchase their own copy. Thank you for supporting Minute Math!