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Coverage & provenance · Functions

All coverage topics · Student practice

Indexing is not transcription, and transcription is not mathematical review. This page keeps those stages visible.

17Extracted numbered groups
17Authored explanations
17Recorded mathematical reviews
0Await authored conversion

17 of 17 groups have authored prompts and authored interactive lessons; 0 await conversion. 17 have mathematical review recorded. Review includes documented qualifications where the printed source is inconsistent or depends on an unstated assumption. This is a first authoring and mathematical review pass, not independent expert certification. Difficulty ratings remain unassigned. The ledger below distinguishes these states.

Inventory reconciliation: Inequalities Q13–14 are on question PDF page 3, printed page 22. Their extra indentation caused the initial scan to stop at Q12. The corrected topic count is 14 and the overall count is 248; original source bytes are unchanged.

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Collection-wide source ledger

248 complete-source articles and 15 topic metadata articles cover 468 original page instances. Source transcription, mathematical review and browser acceptance are recorded separately.

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Topic ledger

Question, answer, review and source-page counts for each topic.
TopicGroupsAuthored explanationsMaths reviewSource pages
04 · Functions1717 / 1717 / 179 question / 28 solution

Source qualifications and cautions

The original pages remain unchanged. Corrections, interpretation choices and necessary domain conditions are recorded alongside the authored working.

04-01 · reviewed

Endpoint checks alone are insufficient: the minimum of g occurs inside its domain.

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04-03 · reviewed

The general claim that f and its inverse intersect only on y=x is false for decreasing functions. The working here includes the extra admissibility check.

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04-09 · reviewed-with-source-correction

Source discrepancy: solution PDF p.15 prints arcsin(x/2)−π/3. This maps 2 to π/6 but maps −2 to −5π/6, outside the required domain. Porisma shows the corrected branch and retains the original source.

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04-12 · reviewed-with-qualification

The source states the transformed x-intercept is the only point. That only identifies the determinable intercept; an unknown y-intercept may exist.

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04-15 · reviewed-with-qualification

Source discrepancy: the question uses ℝ₀⁺ but the solution uses x>0. The inclusion of 2a in the inverse domain awaits clarification.

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04-17 · reviewed-with-qualification

Source qualification: solution PDF p.28 assumes ab≠1 in part (ii). Under that part’s literal wording, a constant-map family also works. Part (iii) requires an inverse, which rules out constant maps; if that assumption is intended throughout, the printed part (ii) answer applies.

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Series expansion topic 09 has byte-identical question and solution PDFs. Their printed solutions are transcribed once; the provenance ledger accounts for both file instances.

Exam references

2025 TJC H2 Maths (9758), JC2 MSM. Individual exam references are retained on question pages; original question and solution page numbers are kept independently. Source margin notes, short keys, tables and diagrams are transcribed into native articles. All 468 original page instances map to 2,703 native item records. Diagrams are source-specific D3 SVGs.

Owner reports that the source contributor has permission to republish. Original attribution and source-page provenance are retained. Originals are preserved privately for quality checks and are excluded from the delivered site.

Byte verification

Original ZIP: 11,692,621 bytes.

SHA-256: 39645f7e5aee1f8d870eca9267920157747d43725a1cc8b0486cb43ca532b1cc

30 PDFs / 468 PDF pages. Every PDF has its own byte length and SHA-256 in the manifest.

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Question-by-question status

Conversion, mathematical review and original question PDF page for every numbered group.
QuestionConversionMathematical reviewQuestion PDF pages
04-01 · Source reviewauthoredreviewed1
04-02 · Source reviewauthoredreviewed1
04-03 · Source reviewauthoredreviewed1, 2
04-04 · Source reviewauthoredreviewed2
04-05 · Source reviewauthoredreviewed2
04-06 · Source reviewauthoredreviewed2
04-07 · Source reviewauthoredreviewed3
04-08 · Source reviewauthoredreviewed3
04-09 · Source reviewauthoredreviewed-with-source-correction3
04-10 · Source reviewauthoredreviewed4
04-11 · Source reviewauthoredreviewed4
04-12 · Source reviewauthoredreviewed-with-qualification5
04-13 · Source reviewauthoredreviewed5
04-14 · Source reviewauthoredreviewed5
04-15 · Source reviewauthoredreviewed-with-qualification6
04-16 · Source reviewauthoredreviewed6
04-17 · Source reviewauthoredreviewed-with-qualification7