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Date	May 2017	Marks available	2	Reference code	17M.1.hl.TZ1.6
Level	HL only	Paper	1	Time zone	TZ1
Command term	Sketch	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]

Given that the graphs enclose a region of area 18 square units, find the value of b.

[3]

Markscheme

M17/5/MATHL/HP1/ENG/TZ1/A6.a/M

graphs sketched correctly (condone missing b) A1A1

[2 marks]

$\frac{{{b^2}}}{2} = 18$ (M1)A1

$b = 6$ A1

[3 marks]

Examiners report

[N/A]

Syllabus sections

Topic 2 - Core: Functions and equations » 2.2

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