Applications & Interpretation HL · Topic 2 · Functions

IB Math AI HL Logarithmic, Logistic and Piecewise Functions Worksheet (questions only)

Modelling with log, logistic and piecewise functions: fitting parameters, interpreting them and choosing the right model.

31 pages · 120 marks · questions only · free PDF for IB Mathematics: Applications and Interpretation HL students.

31pages
120marks
3difficulty levels
Nosolutions included
T2Functions

Download the AI HL Logarithmic, Logistic and Piecewise Functions worksheet (PDF) ↓   All AI HL worksheets →

What this AI HL logarithmic, logistic and piecewise functions worksheet covers

Modelling with log, logistic and piecewise functions: fitting parameters, interpreting them and choosing the right model. 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.

Logarithmic models and their graphs
Logistic growth: carrying capacity and the initial growth phase
Piecewise models and continuity at the join
Choosing between models using the context and the data
Exam tip for this topic. For a logistic model, identify the carrying capacity L first — it is read directly from the long-term behaviour.

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. For the third band, compare your method with the matching questions in the AI HL question bank; if you want this set marked, send it to Mr Ahmad.

More AI HL worksheets on Functions

Functions ✓Functions Toolkit ✓Linear FunctionsModelling with Functions ✓Transformations of Graphs

✓ = solutions included

Questions

Is this AI HL logarithmic, logistic and piecewise 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?

This set is questions only. If you would like it marked, or want the matching solutions, contact Mr Ahmad.

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.

Related IB Math resources

Keep practising AI HL

Stuck on a question from this sheet?

Mr Ahmad tutors IB Mathematics: Applications and Interpretation 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