| Date | May 2015 | Marks available | 3 | Reference code | 15M.2.hl.TZ2.3 |
| Level | HL only | Paper | 2 | Time zone | TZ2 |
| Command term | Sketch | Question number | 3 | Adapted from | N/A |
Question
Sketch the graph of \(y = {(x - 5)^2} - 2\left| {x - 5} \right| - 9,{\text{ for }}0 \le x \le 10\).
[3]
a.
Hence, or otherwise, solve the equation \({(x - 5)^2} - 2\left| {x - 5} \right| - 9 = 0\).
[2]
b.
Markscheme
general shape including \[(\) minimums, cusp A1A1
correct domain and symmetrical about the middle \((x = 5)\) A1
[3 marks]
a.
\(x = 9.16\;\;\;{\text{or}}\;\;\;x = 0.838\) A1A1
[2 marks]
Total [5 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.
Syllabus sections
Topic 2 - Core: Functions and equations » 2.2 » The graph of a function; its equation \(y = f\left( x \right)\) .
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