Horizontal Line Test Simplified Revision Notes for Leaving Cert Mathematics

Revision notes with simplified explanations to understand Horizontal Line Test quickly and effectively.

Learn about Injective, Surjective & Bijective Functions for your Leaving Cert Mathematics Exam. This Revision Note includes a summary of Injective, Surjective & Bijective Functions for easy recall in your Mathematics exam

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Horizontal Line Test

The horizontal line test determines whether a function is injective (one-to-one). If any horizontal line intersects the graph more than once, the function is not injective.

$y=x^2$ is not an injective function.

$y=x^3$ is an injective function.

Since any bijective function is also injective, it also passes the horizontal line test.

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