Analysis & Approaches HL · Topic 2 · Functions

IB Math AA HL Functions Toolkit Worksheet (with full solutions)

The general function toolkit: notation, domain and range, composite and inverse functions, and graph features.

28 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Analysis and Approaches HL students.

28pages
120marks
3difficulty levels
Yessolutions included
T2Functions

Download the AA HL Functions Toolkit worksheet (PDF) ↓   All AA HL worksheets →

What this AA HL functions toolkit worksheet covers

The general function toolkit: notation, domain and range, composite and inverse functions, and graph features. The questions follow the order of the AA HL syllabus for Topic 2 (Functions) and are graded in three bands — routine practice, exam-standard, and the harder multi-step questions that separate a 6 from a 7.

Function notation and evaluating composite functions
Finding and sketching inverse functions
Asymptotes, intercepts and key points
Using a GDC to solve f(x) = g(x)
Exam tip for this topic. Sketch first, calculate second — the GDC window must show every intersection the question asks for.

Preview

How to use it

  1. Do the first band without the AA HL formula booklet, then check which formulas you had to look up — those are the ones to memorise.
  2. Time the second band at roughly 1.2 minutes per mark, the pace of Paper 1 and Paper 2.
  3. Mark the third band against the solutions and rewrite every question you lost marks on from a blank page.

More AA HL worksheets on Functions

✓ = solutions included

The same topic for other courses

Questions

Is this AA HL functions toolkit worksheet free?

Yes — download the PDF with no sign-up. It is one of over 130 free IB Math worksheets on this site, written to match the current syllabus.

Does it come with answers?

Yes, full worked solutions are included at the end of the PDF.

Which IB course is it for?

IB Mathematics: Analysis and Approaches HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

Stuck on a question from this sheet?

Mr Ahmad tutors IB Mathematics: Analysis and Approaches HL students in Dubai and online — topic drills like this one, past-paper technique and IA support.

Book a 50% Off Trial Lesson →
Mr. Ahmad · IB Maths TutorAsk me anything about lessons