HSC Together Year 11 Maths Advanced: Odd and Even Functions

• Working With Functions
• Trigonometric Functions
• Calculus
• Exponential and Logarithmic Functions
• Statistical Analysis
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# Odd and Even Functions

### What are odd and even functions?

In this post, we define odd and even functions algebraically and recognise their geometric properties, as a part of the Prelim Maths Advanced course under the topic Working with Functions and sub-part Introduction to Functions. An odd function is a function with rotational symmetry of two, meaning if rotated 180^{o} it will be the exact same graph. An even function is symmetrical along the y-axis, meaning if it was folded along the y-axis, each side would match one another.

### Introduction to odd and even functions

The following two videos introduce the geometric and algebraic definitions and properties of odd and even functions. The first video goes in-depth about examples, while the second covers the algebraic formulas used to prove odd and even functions.

### Examples of odd and even functions

This video gives a large amount of worked examples of odd, even, and neither functions that can be used to solidify your understanding of odd and even functions.

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