IB Math AA HL · Unit 2 of 6

IB Math AA HL Unit 2: Functions

Unit 2 of IB Mathematics: Analysis and Approaches covers Functions. This unit contains 16 topics and 37 sub-topics. Below you'll find free study notes, flashcards, and exam preparation resources for every topic in this unit.

Higher Level students should treat this unit page as a route map: revise the shared core, then use the HL notes and topic links to reach the extra depth and evaluation expected at HL.

16 topics37 sub-topics

Exam technique guide

What Unit 2 covers

Linear, quadratic, rational, exponential and logarithmic functions, polynomials, inequalities, the modulus and transformations.

Topics in Unit 2

2.1

Straight lines

4 sub-topics

2.2

Functions, domain & range

3 sub-topics

2.3

Graphing

1 sub-topics

2.4

Key features of graphs

2 sub-topics

2.5

Composite & inverse functions

3 sub-topics

2.6

Quadratic functions

3 sub-topics

2.7

Quadratic equations & discriminant

3 sub-topics

2.8

Rational functions & asymptotes

2 sub-topics

2.9

Exponential & log functions

2 sub-topics

2.10

Solving equations

1 sub-topics

2.11

Transformations

3 sub-topics

2.12

Factor & remainder (HL only)

3 sub-topics

2.13

Rational functions (HL only)

2 sub-topics

2.14

Odd, even & self-inverse (HL only)

2 sub-topics

2.15

Inequalities (HL only)

1 sub-topics

2.16

Modulus functions (HL only)

2 sub-topics

Study tip: Work through the topics in order — each builds on concepts from the one before. Start with notes, then reinforce with flashcards and practice questions.

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Unit 1 Unit 3