PorismaSource review

Your source-to-article checklist

Source review · Graphs & transformations

All source-review topics · Coverage and provenance · Student practice

Every question has a place in the ledger. That does not prove every item is accurate or complete. Use these links to compare the native question, subparts, working, teaching notes, tables and diagrams with your private originals.

“Source comparison recorded” means a visual source-comparison pass is documented. “Mapped” or “generated” describes an ingestion step. Mathematical review, browser interaction tests and settled screenshot review are separate checks.

Find a question, topic or source page

20 question records

Optional ticks record your own inspection in this browser only. They do not change the conversion or mathematical-review claims.

01 · Graphs & transformations

Edition metadata →

01-01 · Map points through three graph transformationsQuestion pp.1 / Solution pp.1, 2

Question and explanations → · Complete native source article →

2010/SRJC/Prelim/II/3. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

8 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

Sharp point at the origin.

iii

The short-key positive B ordinate is a typo.

Exact private source page references

01 curve sketching and transformation.pdf · p.1
01 curve sketching and transformation.pdf · p.8
01 Curve sketching and transformation sol.pdf · p.1
01 Curve sketching and transformation sol.pdf · p.2

01-02 · Absolute input discards the left-hand source featuresQuestion pp.1 / Solution pp.3, 4

Question and explanations → · Complete native source article →

modified 2010/RVHS/Prelim/II/1. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

8 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

An asymptote’s reciprocal limit can produce a hole; it does not automatically restore the excluded input. Source qualification: solution PDF p.4 labels the reciprocal limit at x=a as an intercept. Under the original function domain it is a hole; an intercept requires an explicitly defined continuous extension.

Essential answer conditions and source qualifications

No images of the negative-input points A,B,C,D survive; cusp at O.

iii

The old pole is excluded, not a new intercept; y=0 is a left-end asymptote.

Exact private source page references

01 curve sketching and transformation.pdf · p.1
01 curve sketching and transformation.pdf · p.8
01 Curve sketching and transformation sol.pdf · p.3
01 Curve sketching and transformation sol.pdf · p.4

01-03 · Locate the minimum after a rational transformationQuestion pp.2 / Solution pp.5

Question and explanations → · Complete native source article →

2021/ASRJC/Prelim/I/Q7(i). Printed/task labels inventoried: none recorded; check the question itself.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

The given q>0 implies b>4; retain this feasibility condition.

Essential answer conditions and source qualifications

Parameters

The stated p,q>0 additionally requires a>0,b>4.

Exact private source page references

01 curve sketching and transformation.pdf · p.2
01 curve sketching and transformation.pdf · p.8
01 Curve sketching and transformation sol.pdf · p.5

01-04 · Reflect then reciprocate; translate then foldQuestion pp.2 / Solution pp.6

Question and explanations → · Complete native source article →

modified 2010/ACJC/Prelim/I/3. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

6 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Source solution PDF p.6 labels the reciprocal limit (2,0) as an intercept, although the original input remains excluded; the authored version marks a hole unless a continuous extension is intended. The same page labels the absolute-output image of (−1,0) as (−1,−4); its correct height is |0−4|=4.

Essential answer conditions and source qualifications

No x-intercepts.

Three sharp minima occur where f(x)=4; exact abscissae are unspecified.

Exact private source page references

01 curve sketching and transformation.pdf · p.2
01 curve sketching and transformation.pdf · p.9
01 Curve sketching and transformation sol.pdf · p.5
01 Curve sketching and transformation sol.pdf · p.6

01-05 · Repeat a square-root and line motifQuestion pp.2 / Solution pp.7

Question and explanations → · Complete native source article →

2021/CJC/Prelim/I/1. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

01 curve sketching and transformation.pdf · p.2
01 curve sketching and transformation.pdf · p.9
01 Curve sketching and transformation sol.pdf · p.6
01 Curve sketching and transformation sol.pdf · p.7

01-06 · Read a derivative and reciprocal from a shifted graphQuestion pp.3 / Solution pp.9, 10

Question and explanations → · Complete native source article →

modified 2015/RVHS/Prelim/I/10. Printed/task labels inventoried: a, b.i, b.ii, b.iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

10 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Detailed derivative limits follow the supplied qualitative sketch; no exact formula for g or numerical g′(0) is given. Source qualification: solution PDF p.10 labels the reciprocal limit at x=3 as an intercept. Under the original function domain it is a hole; an intercept requires an explicitly defined continuous extension.

Essential answer conditions and source qualifications

$x>-a$ , a>1.

b(ii)

Positive for x<3 and x>4; negative for 3<x<4. Numerical y-intercept unspecified.

Exact private source page references

01 curve sketching and transformation.pdf · p.3
01 curve sketching and transformation.pdf · p.9
01 Curve sketching and transformation sol.pdf · p.8
01 Curve sketching and transformation sol.pdf · p.9
01 Curve sketching and transformation sol.pdf · p.10

01-07 · Reconstruct signs from two absolute-value sketchesQuestion pp.4 / Solution pp.11, 12

Question and explanations → · Complete native source article →

2018/NJC/Prelim/I/8. Printed/task labels inventoried: a, b.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

a — transformations

For this transformation question a>0.

a — concavity

For the alternative assumption a<−6.

Crosses O with slope −3/4; f<0 on (0,2), positive on both remaining source branches.

Exact private source page references

01 curve sketching and transformation.pdf · p.4
01 curve sketching and transformation.pdf · p.10
01 Curve sketching and transformation sol.pdf · p.11
01 Curve sketching and transformation sol.pdf · p.12

01-08 · An ellipse becomes a circleQuestion pp.4 / Solution pp.12

Question and explanations → · Complete native source article →

2015/SAJC/Prelim/I/5. Printed/task labels inventoried: i, ii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

01 curve sketching and transformation.pdf · p.4
01 curve sketching and transformation.pdf · p.10
01 Curve sketching and transformation sol.pdf · p.12

01-09 · A turning point fixes a rational curveQuestion pp.4 / Solution pp.13, 14

Question and explanations → · Complete native source article →

2011/PJC/Promo/9. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

01 curve sketching and transformation.pdf · p.4
01 curve sketching and transformation.pdf · p.10
01 Curve sketching and transformation sol.pdf · p.13
01 Curve sketching and transformation sol.pdf · p.14

01-10 · Keep every absolute value in a logarithmic inequalityQuestion pp.5 / Solution pp.15

Question and explanations → · Complete native source article →

No exam attribution printed with this question. Printed/task labels inventoried: none recorded; check the question itself.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

Inequality

Cutoffs solve the two curve intersections; ±1 are excluded.

Exact private source page references

01 curve sketching and transformation.pdf · p.5
01 curve sketching and transformation.pdf · p.10
01 Curve sketching and transformation sol.pdf · p.14
01 Curve sketching and transformation sol.pdf · p.15

01-11 · Determine when a horizontal level has a negative inputQuestion pp.5 / Solution pp.15, 16

Question and explanations → · Complete native source article →

2012/NJC/Promo/11(a). Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

$a<0$ ; diagram is a representative negative-a sketch.

Exact private source page references

01 curve sketching and transformation.pdf · p.5
01 curve sketching and transformation.pdf · p.11
01 Curve sketching and transformation sol.pdf · p.15
01 Curve sketching and transformation sol.pdf · p.16

01-12 · A family of lines can miss a rational curveQuestion pp.5 / Solution pp.16

Question and explanations → · Complete native source article →

2009/SRJC/Prelim/I/7. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

iii

$a,b>0$ ; representative parameter sketch.

Exact private source page references

01 curve sketching and transformation.pdf · p.5
01 curve sketching and transformation.pdf · p.11
01 Curve sketching and transformation sol.pdf · p.16

01-13 · Use a circle to test negative rootsQuestion pp.5 / Solution pp.17, 18

Question and explanations → · Complete native source article →

modified 2010/RVHS/Prelim/I/7. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

6 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

iii

Equality reaches x=0, not a negative root.

Exact private source page references

01 curve sketching and transformation.pdf · p.5
01 curve sketching and transformation.pdf · p.11
01 Curve sketching and transformation sol.pdf · p.17
01 Curve sketching and transformation sol.pdf · p.18

01-14 · Count roots on either side of a poleQuestion pp.6 / Solution pp.19, 20

Question and explanations → · Complete native source article →

2011/NJC/Prelim/I/12b. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Source solution PDF p.20 labels A=(−1.186,0) in one sentence, although its graph and r≥1.186 conclusion use the positive root. Authored working keeps the exact positive threshold separately.

Essential answer conditions and source qualifications

$x\ne-2$ .

Use the exact boundary for decisions near it.

Exact private source page references

01 curve sketching and transformation.pdf · p.6
01 curve sketching and transformation.pdf · p.12
01 Curve sketching and transformation sol.pdf · p.19
01 Curve sketching and transformation sol.pdf · p.20

01-15 · Compare a rational branch to the upper hyperbolaQuestion pp.6 / Solution pp.21, 22

Question and explanations → · Complete native source article →

2018/AJC/Prelim/II/3. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Squaring without first requiring the rational side to be nonnegative would incorrectly include 2<x≤5/2.

Essential answer conditions and source qualifications

$a>0,b=-3a$ .

Exact private source page references

01 curve sketching and transformation.pdf · p.6
01 curve sketching and transformation.pdf · p.12
01 Curve sketching and transformation sol.pdf · p.21
01 Curve sketching and transformation sol.pdf · p.22

01-16 · Count ellipse intersections without losing the domainQuestion pp.6 / Solution pp.22, 23

Question and explanations → · Complete native source article →

2010/HCI/Prelim/I/12. Printed/task labels inventoried: a, b.i, b.ii, b.iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

b(i)

$1<a<2$ ; C1 has no y-intercept.

b(ii)

Substitute C2 into C1 and multiply by (x+1)²; x=−1 is excluded.

Exact private source page references

01 curve sketching and transformation.pdf · p.6
01 curve sketching and transformation.pdf · p.12
01 Curve sketching and transformation sol.pdf · p.22
01 Curve sketching and transformation sol.pdf · p.23

01-17 · A squared inequality is a region between two branchesQuestion pp.7 / Solution pp.24, 25

Question and explanations → · Complete native source article →

2016/DHS/Promo/10. Printed/task labels inventoried: i, ii, iii, iv.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

4 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

α,β are the real roots of 4x⁴+4x−1=0; x=0 is outside these intervals.

Exact private source page references

01 curve sketching and transformation.pdf · p.7
01 curve sketching and transformation.pdf · p.13
01 Curve sketching and transformation sol.pdf · p.24
01 Curve sketching and transformation sol.pdf · p.25

01-18 · A discriminant reveals a forbidden output intervalQuestion pp.7 / Solution pp.26

Question and explanations → · Complete native source article →

2009/NYJC//Prelim/I/7. Printed/task labels inventoried: i, ii, iii, iv.a, iv.b.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

3 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed-with-qualification. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Question PDF p.7 explicitly prints a<0 under √a; real range working and solution PDF p.26 give a=2. Preserve this source contradiction.

Essential answer conditions and source qualifications

iii

Printed a<0 is inconsistent; the real square-root answer requires a>0.

iv(a)

Representative diagram uses k=4.

Exact private source page references

01 curve sketching and transformation.pdf · p.7
01 curve sketching and transformation.pdf · p.13
01 Curve sketching and transformation sol.pdf · p.25
01 Curve sketching and transformation sol.pdf · p.26

01-19 · Respect both square-root domainsQuestion pp.7 / Solution pp.27

Question and explanations → · Complete native source article →

2019/TJC/Prelim/I/3. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

4 page-item records.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

iii

Compare the upper hyperbola with y=4√(x−1); both roots require x≥2.

Exact private source page references

01 curve sketching and transformation.pdf · p.7
01 curve sketching and transformation.pdf · p.14
01 Curve sketching and transformation sol.pdf · p.27

01-20 · Identify a parametric self-intersectionQuestion pp.7 / Solution pp.28

Question and explanations → · Complete native source article →

2020/NYJC/Promo/10. Printed/task labels inventoried: i, ii, iii.

Question / subparts

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Solution steps

Source comparison recorded

2 page-item records.

Inspect native target → I compared this with the original

Teacher notes

Source comparison recorded

1 page-item record.

Inspect native target → I compared this with the original

Tables

No item inventoried — owner check needed

0 page-item records.

Inspect native target → I compared this with the original

Diagrams

Source comparison recorded

2 page-item records. Native SVG generated; rendering is checked separately

Inspect native target → I compared this with the original

Short answer: source-compared
Mathematical correctness: reviewed. Recorded mathematical review is a first pass; it is not independent expert certification.
Final interactions: Question-first question/short-answer pixels reviewed at320px on baseline9f03a4f. This polish pass adds all248 open-guided DOM reflow checks; all31 added given-figure placements inspected at320px; responsive plots and selected updated layouts checked separately. This is not an exhaustive new working/teacher-note pixel audit.
Rendered source content: Settled source-content screenshots reviewed

Essential answer conditions and source qualifications

No separate condition recorded. Check the full question, native working and printed assumptions.

Exact private source page references

01 curve sketching and transformation.pdf · p.7
01 curve sketching and transformation.pdf · p.14
01 Curve sketching and transformation sol.pdf · p.28

An empty omission list is not a completeness certificate. Add any issue you find to the article or page-item record before calling that part finished.