LCHL Maths – Functions and Graphs

Leaving Cert Higher Level Maths LCHL Maths – Functions and Graphs

LCHL Functions and Graphs

Your progress through this topic0 of 11 lessons

Lessons in this topic

All 11 lessons, in order — each one ticks off as you open it.

1JC Revision2Shapes of Quadratic Functions3Vertex form/Completing the square4Composite functions5Injective Functions6Surjective Functions7Bijective Functions8Inverse functions9Drawing Graphs10Limits, convergence, divergence, continuity11Functions and Graphs 10

Definitions you must know

★ Must learn
Definition of a function
Definition of a functionevery input → exactly one output
★ Must learn
Bijective ⇒ inverse is a function
Bijective ⇒ inverse is a functionFunctions & Graphs 8

The horizontal line test

★ Must learn
Injective test
Injective testno horizontal line meets the graph more than once
★ Must learn
Surjective test
Surjective testevery horizontal line meets the graph at least once

Injective and surjective mappings

★ Must learn
Injective (one-to-one) mapping
Injective (one-to-one) mappingdistinct inputs → distinct outputs
★ Must learn
Surjective (onto) mapping
Surjective (onto) mappingevery output is used at least once

Key ideas in this topic

Vertex form
Vertex formFunctions & Graphs 3
Composite functions
Composite functionsFunctions & Graphs
Inverse functions
Inverse functionsFunctions & Graphs 8

Check it against the exam

Jump straight to the fully worked solution for that paper.

2023 Paper 1 Q2 →2023 Paper 1 Q5 →2023 Paper 1 Q9 →2022 Paper 1 Q5 →2022 Paper 1 Q6 →

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