HSC Together Year 11 Maths Advanced: What is a Function and Relation?

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
• Back to other subjects
Back to other subjects

# What is a Function and Relation?

### What is a function and relation?

In this post, we define and use a function and a relation as mappings between sets, and as a rule or a formula that defines one variable quantity in terms of another. We define a relation as any set of ordered pairs (x, y) of real numbers and understand the formal definition of a function as a set of ordered pairs (x, y) of real numbers such that no two ordered pairs have the same first component (or x -component). This is part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Introduction to Functions, specifically focusing on what is a function and relation.

### Introduction to Functions

The following two videos cover the introduction to functions. The first video covers the definition of a function, and the second solidifies your understanding by providing great examples and counter-examples.

### Defining a relation

In the video below, the definition of a relation is covered, by mapping and graphing.

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