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Date May 2017 Marks available 2 Reference code 17M.1.AHL.TZ1.H_6
Level Additional Higher Level Paper Paper 1 Time zone Time zone 1
Command term Sketch Question number H_6 Adapted from N/A

Question

Consider the graphs of y = | x | and y = | x | + b , where b 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

* This question is from an exam for a previous syllabus, and may contain minor differences in marking or structure.

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

graphs sketched correctly (condone missing b)     A1A1

[2 marks]

a.

b 2 2 = 18      (M1)A1

b = 6      A1

[3 marks]

b.

Examiners report

[N/A]
a.
[N/A]
b.

Syllabus sections

Topic 2—Functions » SL 2.2—Functions, notation domain, range and inverse as reflection
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Topic 2—Functions » SL 2.4—Key features of graphs, intersections using technology
Topic 2—Functions

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