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Inverse Functions

Finding Inverse Functions - Using Function Machines WORKSHEET

Suitable for Year groups: Year 10, Year 11
GCSE Tier: Higher
Targeting grades: 6-7
Prerequisite knowledge: Using function notation. Evaluating Fuctions.
Learning Objective: Where appropriate, interpret simple expressions as functions with inputs and outputs. Interpret the reverse process as the ā€˜inverse functionā€™.

Finding Inverse Functions - Using Function Machines WORKSHEET DESCRIPTION

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

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

In Section B, pupils 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 Maths.

Finding Inverse Functions - Using Function Machines Worksheet suitable for Year 10 and Year 11 students

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Frequently Asked Questions

This worksheet is designed for Year 10 and Year 11 students studying Higher tier GCSE mathematics. It's particularly well-suited for pupils working towards grades 6-7, as it requires a solid understanding of function notation and the ability to interpret mathematical expressions as functions with clear inputs and outputs.