Odd, Even or Neither Functions

This is part of the Prelim Maths Extension 1 Syllabus from the topic Trigonometric Functions: Inverse Trigonometric Functions. In this post, we will explore classifying functions: odd, even or, neither. So what are odd, even or neither functions?

A function is odd if $f(-x) = -f(x)$
A function is even if $f(-x) = f(x)$
Neither, if it satisfies neither odd nor even.

Don’t forget to write out all proofs clearly every single time you need to prove any of them!

This is part of the Prelim Maths Extension 1 Syllabus from the topic Trigonometric Functions: Inverse Trigonometric Functions. In this post, we will explore classifying functions: odd-even neither.

Let’s explore odd, even and neither here!