Applications & Interpretation SL · Topic 2 · Functions

IB Math AI SL Further Functions and Graphs Worksheet (with full solutions)

Exponential, logarithmic, rational and piecewise functions and the features that define their graphs.

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

28pages
120marks
3difficulty levels
Yessolutions included
T2Functions

Download the AI SL Further Functions and Graphs worksheet (PDF) ↓   All AI SL worksheets →

What this AI SL further functions and graphs worksheet covers

Exponential, logarithmic, rational and piecewise functions and the features that define their graphs. The questions follow the order of the AI SL 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.

Asymptotes of exponential, log and rational functions
Transformations applied to standard graphs
Piecewise functions and continuity
Reading and sketching from a GDC
Exam tip for this topic. Label every asymptote with its equation — "the line x = 2" is a mark; a dotted line without a label is not.

Preview

How to use it

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

✓ = solutions included

The same topic for other courses

Questions

Is this AI SL further functions and graphs 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 SL. The same topic is also available for the other courses where it is on the syllabus — see the links above.

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