Functions for GCSE Maths: Explanation, Examples and Questions

Functions are a fundamental concept in mathematics, describing the relationship between inputs and outputs in a precise way.

At GCSE level, students learn how to work with functions, including function notation, evaluating functions, and understanding inverse and compound functions, building essential skills for further study in maths.

Introduction to Function Notation

This video will introduce function notation (how functions are written) and explain how to find the input or output values of functions by substitution or solving equations.

Composite Functions

This video explains composite functions, where one function is applied to the result of another.

It includes step-by-step examples to show how to calculate composite functions and how to find their values, making it ideal for GCSE Maths students.

Inverse Functions

This video explains how to find inverse functions, with step-by-step examples to guide you through the process.

It covers a range of examples, including finding the inverse of composite functions, making it suitable for Higher GCSE Maths students.

Solving Equations involving Functions

Equations can be written in function notation and solved using algebraic techniques you have already learned such as expanding brackets, simplifying expressions, and solving quadratics.

Function equations can include composite and inverse functions so knowledge of finding composites and inverses is essential here.

The rest of the lesson on functions is not quite ready, but if you already know what you're doing, we have practice questions linked below.