| Date | May 2017 | Marks available | 3 | Reference code | 17M.1.hl.TZ1.6 |
| Level | HL only | Paper | 1 | Time zone | TZ1 |
| Command term | Find | Question number | 6 | Adapted from | N/A |
Question
Consider the graphs of \(y = \left| x \right|\) and \(y = - \left| x \right| + b\), where \(b \in {\mathbb{Z}^ + }\).
Sketch the graphs on the same set of axes.
[2]
a.
Given that the graphs enclose a region of area 18 square units, find the value of b.
[3]
b.
Markscheme
graphs sketched correctly (condone missing b) A1A1
[2 marks]
a.
\(\frac{{{b^2}}}{2} = 18\) (M1)A1
\(b = 6\) A1
[3 marks]
b.
Examiners report
[N/A]
a.
[N/A]
b.
Syllabus sections
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