User interface language: English | Español

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 \(y = f\left( x \right)\) .
Show 43 related questions

View options