Eleventh graders learn inverse functions — which undo what a function does by swapping inputs and outputs — finding an inverse algebraically and understanding that its graph is a reflection over the line y = x.
Students will be able to…
If a function turns 3 into 7, its inverse turns 7 back into 3. Every step gets undone in reverse. How do you find a function’s inverse — and what does it look like?
Project this and match each function to its inverse — tap a function, then tap the function that undoes it.
Tap any phase to open the teacher moves and student actions.
If f turns 3 into 7, what turns 7 back into 3?
Teacher models.
Class uses Match the Inverse.
Students find inverses.
One function.
Aligned to the Common Core State Standards for Mathematics (High School Algebra II).
Find inverse functions.
Solve an equation of the form f(x) = c for a simple function to find the inverse.
Graph functions and their inverses.
Understand transformations, including reflections.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students verify that two functions are inverses by showing f(f⁻¹(x)) = x. A printable inverse-functions sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.