Applications & Interpretation HL · Topic 2 · Functions

IB Math AI HL Functions Worksheet (with full solutions)

Domain, range, composite and inverse functions, and reading graphs with a GDC.

27 pages · 120 marks · with full solutions · free PDF for IB Mathematics: Applications and Interpretation HL students.

27pages
120marks
3difficulty levels
Yessolutions included
T2Functions

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What this AI HL functions worksheet covers

Domain, range, composite and inverse functions, and reading graphs with a GDC. The questions follow the order of the AI 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.

Domain and range from an equation or a graph
Composite functions f∘g and their domains
Inverse functions algebraically and graphically
Solving equations graphically
Exam tip for this topic. For an inverse, swap x and y and then rearrange — and state the domain of the inverse as the range of the original.

Preview

How to use it

  1. Do the first band without the AI 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 AI HL worksheets on Functions

✓ = solutions included

Questions

Is this AI HL functions 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: Applications and Interpretation HL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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