Florida B.E.S.T. MA.912.F.3.9

MathGrades 9–12Create new functions from existing functions.

The Standard

Solve mathematical and real-world problems involving inverse functions.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students reverse a function by switching its inputs and outputs, then find or use the inverse rule. They interpret inverse values in context and check whether domain restrictions are needed.
What Mastery Looks Like: Students can find an inverse from an equation, table, or graph and verify it using composition. They can use the inverse to answer a context question with correct units and domain limits.
Common Misconceptions: Students often confuse an inverse function with the reciprocal 1/f(x). They may swap x and y but forget to solve for y or restrict the domain when needed.
How to Assess It: Exit ticket: Given F(C) = 9C/5 + 32, find the inverse, use it to convert 95°F to Celsius, and verify your answer.

Lesson moves

Give students input-output cards to arrange as a function, then reverse the pairs and decide whether the inverse is also a function.
Ask students to explain why reversing a square-area function requires a restricted domain and what the inverse means.
Play an inverse matching game where students pair function cards with inverse equations, tables, graphs, and compositions equal to x.
Use a taxi fare formula to find the inverse and determine distance traveled from a given total fare.

Free download

$Preview of the MA.912.F.3.9 printable worksheet$

A ready-to-print activity worksheet aligned to MA.912.F.3.9, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.