Back to:

Finding Inverse Functions - Using Function Machines WORKSHEET

Suitable for Grades: Algebra II, IM 2

CCSS: HSF.BF.B.4, HSF.BF.B.4.a

CCSS Description: Find inverse functions. a. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. For example, f(x) =2 x3 or f(x) = (x+1)/(x–1) for x ≠ 1. b. (+) Verify by composition that one function is the inverse of another. c. (+) Read values of an inverse function from a graph or a table, given that the function has an inverse. d. (+) Produce an invertible function from a non-invertible function by restricting the domain.

No description available

Finding Inverse Functions - Using Function Machines WORKSHEET DESCRIPTION

Introducing inverse functions through the concept of 'function machines' is an excellent way to help learners visualize and grasp this topic. This worksheet is designed to build students’ understanding and confidence in finding inverse functions step-by-step.

In Section A, learners will complete function machines for various functions, working forward and backward to identify the corresponding inverse function. They will express these inverse functions using proper notation f−1(x) and verify their results.

In Section B, students tackle more complex functions, applying their understanding of inverse processes. Functions include linear, quadratic, and fractional types, ensuring students gain a comprehensive understanding of inverses across different scenarios.

By working through this worksheet, students will solidify their grasp of the relationship between a function and its inverse, using visual aids and function notation effectively.

All worksheets are created by the team of experienced teachers at Cazoom Math.

Finding Inverse Functions - Using Function Machines Worksheet suitable for High School students

DOWNLOAD WORKSHEETDOWNLOAD ANSWERS

RELATED TO Finding Inverse Functions - Using Function Machines WORKSHEET

Introducing Functions - Using Function Machines

Grades: Algebra II, IM 2

$Preview of Introducing Functions - Using Function Machines$

Rearranging Formulas with Function Machines

Grades: 8th Grade, Algebra I, IM 1

Inverse Functions (A)

Grades: Algebra II, IM 3

Expressions and Functions

Grades: Algebra I, IM 1

Frequently Asked Questions

Since this is designed for Algebra II and IM 2 students, learners should be comfortable working with various function types including linear, quadratic, and fractional functions. They should also understand basic function notation and be able to perform algebraic manipulations like solving equations and working with fractions.

Menu