IB Math AA HL Unit 2: Functions

IB Maths AA 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.

• Odd, Even, Inverse, Inequalities and Modulus questions38 questions · 3 worked examples
• Polynomials and Rational Functions questions79 questions · 3 worked examples
• Transformations and Modulus questions20 questions · 3 worked examples

Learn it first: AA HL Unit 2 notes

• Rational functions
• Inequalities
• Polynomial division and the factor theorem
• Logarithm laws and change of base
• Sequences, series, and induction proofs

Where marks go in AA HL Unit 2

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

• Graphs and transformations: describing a rational function, and graphs of [f(x)]². Write the rational function in the form a + b/(x − c) first; each of a, b, c is one transformation. For [f(x)]², values between −1 and 1 get smaller and zeros become touching points.
• Complex numbers and polynomials: conjugate roots, all the roots, general solutions. A real polynomial with root a + bi also has a − bi. Build the quadratic factor (z − (a + bi))(z − (a − bi)) = z² − 2az + a² + b² and divide, or use sum/product with every root.

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

FAQ

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