IB Math AI HL Unit 2: Functions

IB Maths AI HL Unit 2: Functions, topic by topic

Each topic in this unit has a free page with step-by-step worked examples and the key formulas, then exam-style questions with mark schemes.

• Advanced Modelling questions37 questions · 3 worked examples
• Composite, Inverse and Transformations questions50 questions · 3 worked examples
• Scaling and Linearising Data questions19 questions · 3 worked examples

Learn it first: AI HL Unit 2 notes

• Modelling with functions

Where marks go in AI HL Unit 2

From the IB subject reports we summarise on AI HL Examiner Insights, in our own words:

• Modelling: regression on the GDC, r² for non-linear models, context of the variable. Use the GDC's regression for the model named. Compare non-linear fits with R² and quote both values. Define the variable ("t = years after 2010") before substituting, and answer the comparison the question actually asks.
• HL algebra: product rule, brackets, logs and exact solutions. Practise the core manipulations without the GDC: product and chain rules, brackets, log laws, exponentiating both sides, exact quadratic solutions. Then use the GDC to check.
• Sketches from the GDC: domain, endpoints, turning points, angle mode. Set the window to the stated domain, find every turning point and endpoint on the GDC, then label them on your sketch. Radians for calculus and complex arguments. Think about what the function does rather than copying the screen.

The questions here are original, written in the style of IB papers with IB-style mark schemes; for real papers see the IB Maths AI HL past papers page.

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